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Finding the Fourth Proportional to 41,641.98, 62,469.45 and 13,933.50

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Solution

The fourth proportional to 41,641.98, 62,469.45 and 13,933.50 is: 20,902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,641.98 : 62,469.45 = 13,933.50 : x
  2. Step 2: Convert to fraction form
    41,641.98/62,469.45 = 13,933.50/x
  3. Step 3: Cross multiply
    41,641.98x = 62,469.45 × 13,933.50
  4. Step 4: Simplify right side
    41,641.98x = 870,418,081.58
  5. Step 5: Solve for x
    x = 870,418,081.58/41,641.98
  6. Step 6: Final answer
    x = 20,902.42

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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.