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Finding the Fourth Proportional to 80,516.68, 120,695.97 and 38,385.50

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Solution

The fourth proportional to 80,516.68, 120,695.97 and 38,385.50 is: 57,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,516.68 : 120,695.97 = 38,385.50 : x
  2. Step 2: Convert to fraction form
    80,516.68/120,695.97 = 38,385.50/x
  3. Step 3: Cross multiply
    80,516.68x = 120,695.97 × 38,385.50
  4. Step 4: Simplify right side
    80,516.68x = 4,632,974,696.90
  5. Step 5: Solve for x
    x = 4,632,974,696.90/80,516.68
  6. Step 6: Final answer
    x = 57,540.56

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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.