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Finding the Fourth Proportional to 32,171.87, 48,257.65 and 8,156.18

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Solution

The fourth proportional to 32,171.87, 48,257.65 and 8,156.18 is: 12,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.87 : 48,257.65 = 8,156.18 : x
  2. Step 2: Convert to fraction form
    32,171.87/48,257.65 = 8,156.18/x
  3. Step 3: Cross multiply
    32,171.87x = 48,257.65 × 8,156.18
  4. Step 4: Simplify right side
    32,171.87x = 393,598,079.78
  5. Step 5: Solve for x
    x = 393,598,079.78/32,171.87
  6. Step 6: Final answer
    x = 12,234.23

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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.