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Finding the Fourth Proportional to 38,736.80, 53,425.68 and 24,593.12

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Solution

The fourth proportional to 38,736.80, 53,425.68 and 24,593.12 is: 33,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,736.80 : 53,425.68 = 24,593.12 : x
  2. Step 2: Convert to fraction form
    38,736.80/53,425.68 = 24,593.12/x
  3. Step 3: Cross multiply
    38,736.80x = 53,425.68 × 24,593.12
  4. Step 4: Simplify right side
    38,736.80x = 1,313,904,159.32
  5. Step 5: Solve for x
    x = 1,313,904,159.32/38,736.80
  6. Step 6: Final answer
    x = 33,918.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.