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Finding the Fourth Proportional to 42,565.52, 58,724.42 and 24,654

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Solution

The fourth proportional to 42,565.52, 58,724.42 and 24,654 is: 34,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,565.52 : 58,724.42 = 24,654 : x
  2. Step 2: Convert to fraction form
    42,565.52/58,724.42 = 24,654/x
  3. Step 3: Cross multiply
    42,565.52x = 58,724.42 × 24,654
  4. Step 4: Simplify right side
    42,565.52x = 1,447,791,850.68
  5. Step 5: Solve for x
    x = 1,447,791,850.68/42,565.52
  6. Step 6: Final answer
    x = 34,013.25

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