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Finding the Fourth Proportional to 32,251.50, 48,371.31 and 8,874.90

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Solution

The fourth proportional to 32,251.50, 48,371.31 and 8,874.90 is: 13,310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,251.50 : 48,371.31 = 8,874.90 : x
  2. Step 2: Convert to fraction form
    32,251.50/48,371.31 = 8,874.90/x
  3. Step 3: Cross multiply
    32,251.50x = 48,371.31 × 8,874.90
  4. Step 4: Simplify right side
    32,251.50x = 429,290,539.12
  5. Step 5: Solve for x
    x = 429,290,539.12/32,251.50
  6. Step 6: Final answer
    x = 13,310.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.