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Finding the Fourth Proportional to 38,761.52, 58,142.50 and 13,802.54

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Solution

The fourth proportional to 38,761.52, 58,142.50 and 13,802.54 is: 20,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,761.52 : 58,142.50 = 13,802.54 : x
  2. Step 2: Convert to fraction form
    38,761.52/58,142.50 = 13,802.54/x
  3. Step 3: Cross multiply
    38,761.52x = 58,142.50 × 13,802.54
  4. Step 4: Simplify right side
    38,761.52x = 802,513,856.73
  5. Step 5: Solve for x
    x = 802,513,856.73/38,761.52
  6. Step 6: Final answer
    x = 20,703.88

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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.