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Finding the Fourth Proportional to 82,771, 123,861.12 and 71,715.58

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Solution

The fourth proportional to 82,771, 123,861.12 and 71,715.58 is: 107,317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,771 : 123,861.12 = 71,715.58 : x
  2. Step 2: Convert to fraction form
    82,771/123,861.12 = 71,715.58/x
  3. Step 3: Cross multiply
    82,771x = 123,861.12 × 71,715.58
  4. Step 4: Simplify right side
    82,771x = 8,882,772,060.25
  5. Step 5: Solve for x
    x = 8,882,772,060.25/82,771
  6. Step 6: Final answer
    x = 107,317.44

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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.