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Finding the Fourth Proportional to 82,617.76, 123,916.08 and 26,463.68

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Solution

The fourth proportional to 82,617.76, 123,916.08 and 26,463.68 is: 39,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,617.76 : 123,916.08 = 26,463.68 : x
  2. Step 2: Convert to fraction form
    82,617.76/123,916.08 = 26,463.68/x
  3. Step 3: Cross multiply
    82,617.76x = 123,916.08 × 26,463.68
  4. Step 4: Simplify right side
    82,617.76x = 3,279,275,487.97
  5. Step 5: Solve for x
    x = 3,279,275,487.97/82,617.76
  6. Step 6: Final answer
    x = 39,692.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.