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Finding the Fourth Proportional to 67,892.20, 101,867.10 and 32,813.80

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Solution

The fourth proportional to 67,892.20, 101,867.10 and 32,813.80 is: 49,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,892.20 : 101,867.10 = 32,813.80 : x
  2. Step 2: Convert to fraction form
    67,892.20/101,867.10 = 32,813.80/x
  3. Step 3: Cross multiply
    67,892.20x = 101,867.10 × 32,813.80
  4. Step 4: Simplify right side
    67,892.20x = 3,342,646,645.98
  5. Step 5: Solve for x
    x = 3,342,646,645.98/67,892.20
  6. Step 6: Final answer
    x = 49,234.62

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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.