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Finding the Fourth Proportional to 41,842.85, 62,765.78 and 13,385.57

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Solution

The fourth proportional to 41,842.85, 62,765.78 and 13,385.57 is: 20,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,842.85 : 62,765.78 = 13,385.57 : x
  2. Step 2: Convert to fraction form
    41,842.85/62,765.78 = 13,385.57/x
  3. Step 3: Cross multiply
    41,842.85x = 62,765.78 × 13,385.57
  4. Step 4: Simplify right side
    41,842.85x = 840,155,361.04
  5. Step 5: Solve for x
    x = 840,155,361.04/41,842.85
  6. Step 6: Final answer
    x = 20,078.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.