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Finding the Fourth Proportional to 81,864.34, 122,791.49 and 48,149

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Solution

The fourth proportional to 81,864.34, 122,791.49 and 48,149 is: 72,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,864.34 : 122,791.49 = 48,149 : x
  2. Step 2: Convert to fraction form
    81,864.34/122,791.49 = 48,149/x
  3. Step 3: Cross multiply
    81,864.34x = 122,791.49 × 48,149
  4. Step 4: Simplify right side
    81,864.34x = 5,912,287,452.01
  5. Step 5: Solve for x
    x = 5,912,287,452.01/81,864.34
  6. Step 6: Final answer
    x = 72,220.55

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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.