[tex]4\dfrac{7}{n}=\dfrac{36}{54}\\\\\dfrac{4n+7}{n}=\dfrac{2}{3}\ \ \ \ |cross\ multiply\\\\3(4n+7)=2n\\\\12n+21=2n\ \ \ \ |subtract\ 21\ and\ 2n\ from\ both\ sides\\\\10n=-21\ \ \ \ |divide\ both\ sides\ by\ 10\\\\\boxed{n=-2.1}[/tex]
[tex]\dfrac{47}{n}=\dfrac{36}{54}\\\\\dfrac{47}{n}=\dfrac{2}{3}\ \ \ \ \ |cross\ multiply\\\\2n=3\cdot47\\\\2n=141\ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{n=70.5}[/tex]
