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Finding the Fourth Proportional to 91,915.80, 137,874.24 and 32,753.76

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Solution

The fourth proportional to 91,915.80, 137,874.24 and 32,753.76 is: 49,130.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,915.80 : 137,874.24 = 32,753.76 : x
  2. Step 2: Convert to fraction form
    91,915.80/137,874.24 = 32,753.76/x
  3. Step 3: Cross multiply
    91,915.80x = 137,874.24 × 32,753.76
  4. Step 4: Simplify right side
    91,915.80x = 4,515,899,767.14
  5. Step 5: Solve for x
    x = 4,515,899,767.14/91,915.80
  6. Step 6: Final answer
    x = 49,130.83

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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.