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Finding the Fourth Proportional to 42,785.68, 64,125 and 20,593.12

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Solution

The fourth proportional to 42,785.68, 64,125 and 20,593.12 is: 30,863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,785.68 : 64,125 = 20,593.12 : x
  2. Step 2: Convert to fraction form
    42,785.68/64,125 = 20,593.12/x
  3. Step 3: Cross multiply
    42,785.68x = 64,125 × 20,593.12
  4. Step 4: Simplify right side
    42,785.68x = 1,320,533,820
  5. Step 5: Solve for x
    x = 1,320,533,820/42,785.68
  6. Step 6: Final answer
    x = 30,863.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.