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Finding the Fourth Proportional to 38,502.72, 57,754.41 and 13,542.95

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Solution

The fourth proportional to 38,502.72, 57,754.41 and 13,542.95 is: 20,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502.72 : 57,754.41 = 13,542.95 : x
  2. Step 2: Convert to fraction form
    38,502.72/57,754.41 = 13,542.95/x
  3. Step 3: Cross multiply
    38,502.72x = 57,754.41 × 13,542.95
  4. Step 4: Simplify right side
    38,502.72x = 782,165,086.91
  5. Step 5: Solve for x
    x = 782,165,086.91/38,502.72
  6. Step 6: Final answer
    x = 20,314.54

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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.