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Finding the Fourth Proportional to 91,882.84, 137,824.26 and 29,562.52

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Solution

The fourth proportional to 91,882.84, 137,824.26 and 29,562.52 is: 44,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,882.84 : 137,824.26 = 29,562.52 : x
  2. Step 2: Convert to fraction form
    91,882.84/137,824.26 = 29,562.52/x
  3. Step 3: Cross multiply
    91,882.84x = 137,824.26 × 29,562.52
  4. Step 4: Simplify right side
    91,882.84x = 4,074,432,442.74
  5. Step 5: Solve for x
    x = 4,074,432,442.74/91,882.84
  6. Step 6: Final answer
    x = 44,343.78

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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.