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Finding the Fourth Proportional to 87,823.50, 131,735.28 and 32,419.50

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Solution

The fourth proportional to 87,823.50, 131,735.28 and 32,419.50 is: 48,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,823.50 : 131,735.28 = 32,419.50 : x
  2. Step 2: Convert to fraction form
    87,823.50/131,735.28 = 32,419.50/x
  3. Step 3: Cross multiply
    87,823.50x = 131,735.28 × 32,419.50
  4. Step 4: Simplify right side
    87,823.50x = 4,270,791,909.96
  5. Step 5: Solve for x
    x = 4,270,791,909.96/87,823.50
  6. Step 6: Final answer
    x = 48,629.26

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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.