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Finding the Fourth Proportional to 87,865, 131,777.70 and 40,434.56

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Solution

The fourth proportional to 87,865, 131,777.70 and 40,434.56 is: 60,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,865 : 131,777.70 = 40,434.56 : x
  2. Step 2: Convert to fraction form
    87,865/131,777.70 = 40,434.56/x
  3. Step 3: Cross multiply
    87,865x = 131,777.70 × 40,434.56
  4. Step 4: Simplify right side
    87,865x = 5,328,373,317.31
  5. Step 5: Solve for x
    x = 5,328,373,317.31/87,865
  6. Step 6: Final answer
    x = 60,642.73

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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.