Whenever, after the expiration of the said period of three years, twenty-five landowners of any such district, or a majority of the landowners of any such district, excluding lands owned by the state, or any landowner or owners owning more than fifty percent (50%) of the total acreage of said district, excluding acreage owned by the state, shall sign and file with the clerk of the chancery court by which such district was organized a petition for the dissolution of such district, it shall be the duty of such clerk to give notice in the manner provided in Section 51-7-11 that a hearing will be held on such petition to dissolve such district. Such notice shall set the time and place in term time or vacation when the court shall consider said petition, and such notice shall command all interested persons to appear and show cause, if any they can, as to why such district should or should not be dissolved.