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Finding the Fourth Proportional to 32,282.88, 48,427.10 and 8,909.31

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Solution

The fourth proportional to 32,282.88, 48,427.10 and 8,909.31 is: 13,364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,282.88 : 48,427.10 = 8,909.31 : x
  2. Step 2: Convert to fraction form
    32,282.88/48,427.10 = 8,909.31/x
  3. Step 3: Cross multiply
    32,282.88x = 48,427.10 × 8,909.31
  4. Step 4: Simplify right side
    32,282.88x = 431,452,046.30
  5. Step 5: Solve for x
    x = 431,452,046.30/32,282.88
  6. Step 6: Final answer
    x = 13,364.73

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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.