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 \[ \dfrac{30}{43} = \cfrac1{a + \cfrac1{b + \cfrac1{c + \cfrac1d}}}? \]

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