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Finding the Fourth Proportional to 32,227.88, 48,344.55 and 8,854.31

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Solution

The fourth proportional to 32,227.88, 48,344.55 and 8,854.31 is: 13,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,227.88 : 48,344.55 = 8,854.31 : x
  2. Step 2: Convert to fraction form
    32,227.88/48,344.55 = 8,854.31/x
  3. Step 3: Cross multiply
    32,227.88x = 48,344.55 × 8,854.31
  4. Step 4: Simplify right side
    32,227.88x = 428,057,720.17
  5. Step 5: Solve for x
    x = 428,057,720.17/32,227.88
  6. Step 6: Final answer
    x = 13,282.22

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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.