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Finding the Fourth Proportional to 71,234.58, 106,757.49 and 37,882.83

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Solution

The fourth proportional to 71,234.58, 106,757.49 and 37,882.83 is: 56,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,234.58 : 106,757.49 = 37,882.83 : x
  2. Step 2: Convert to fraction form
    71,234.58/106,757.49 = 37,882.83/x
  3. Step 3: Cross multiply
    71,234.58x = 106,757.49 × 37,882.83
  4. Step 4: Simplify right side
    71,234.58x = 4,044,275,844.90
  5. Step 5: Solve for x
    x = 4,044,275,844.90/71,234.58
  6. Step 6: Final answer
    x = 56,774.05

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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.