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Finding the Fourth Proportional to 41,920.85, 62,889.03 and 13,842.86

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Solution

The fourth proportional to 41,920.85, 62,889.03 and 13,842.86 is: 20,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,920.85 : 62,889.03 = 13,842.86 : x
  2. Step 2: Convert to fraction form
    41,920.85/62,889.03 = 13,842.86/x
  3. Step 3: Cross multiply
    41,920.85x = 62,889.03 × 13,842.86
  4. Step 4: Simplify right side
    41,920.85x = 870,563,723.38
  5. Step 5: Solve for x
    x = 870,563,723.38/41,920.85
  6. Step 6: Final answer
    x = 20,766.85

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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.