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Finding the Fourth Proportional to 80,658.17, 120,962.95 and 38,516.50

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Solution

The fourth proportional to 80,658.17, 120,962.95 and 38,516.50 is: 57,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,658.17 : 120,962.95 = 38,516.50 : x
  2. Step 2: Convert to fraction form
    80,658.17/120,962.95 = 38,516.50/x
  3. Step 3: Cross multiply
    80,658.17x = 120,962.95 × 38,516.50
  4. Step 4: Simplify right side
    80,658.17x = 4,659,069,463.68
  5. Step 5: Solve for x
    x = 4,659,069,463.68/80,658.17
  6. Step 6: Final answer
    x = 57,763.14

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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.