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Finding the Fourth Proportional to 42,912.59, 59,207.10 and 24,761.88

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Solution

The fourth proportional to 42,912.59, 59,207.10 and 24,761.88 is: 34,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,912.59 : 59,207.10 = 24,761.88 : x
  2. Step 2: Convert to fraction form
    42,912.59/59,207.10 = 24,761.88/x
  3. Step 3: Cross multiply
    42,912.59x = 59,207.10 × 24,761.88
  4. Step 4: Simplify right side
    42,912.59x = 1,466,079,105.35
  5. Step 5: Solve for x
    x = 1,466,079,105.35/42,912.59
  6. Step 6: Final answer
    x = 34,164.32

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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.