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Finding the Fourth Proportional to 38,098.52, 57,146.70 and 13,138.10

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Solution

The fourth proportional to 38,098.52, 57,146.70 and 13,138.10 is: 19,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,098.52 : 57,146.70 = 13,138.10 : x
  2. Step 2: Convert to fraction form
    38,098.52/57,146.70 = 13,138.10/x
  3. Step 3: Cross multiply
    38,098.52x = 57,146.70 × 13,138.10
  4. Step 4: Simplify right side
    38,098.52x = 750,799,059.27
  5. Step 5: Solve for x
    x = 750,799,059.27/38,098.52
  6. Step 6: Final answer
    x = 19,706.78

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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.