Fraction Fun

It's obvious to see that $\dfrac{30}{43} = \cfrac1{1 + \cfrac1{2 + \cfrac1{3 + \cfrac14}}} .$ But does there exist another ordered quadruplet of positive integers $(a,b,c,d)$ other than $(1,2,3,4)$ such that $\dfrac{30}{43} = \cfrac1{a + \cfrac1{b + \cfrac1{c + \cfrac1d}}}?$