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Finding the Fourth Proportional to 32,140.70, 48,213.30 and 9,951.15

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Solution

The fourth proportional to 32,140.70, 48,213.30 and 9,951.15 is: 14,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,140.70 : 48,213.30 = 9,951.15 : x
  2. Step 2: Convert to fraction form
    32,140.70/48,213.30 = 9,951.15/x
  3. Step 3: Cross multiply
    32,140.70x = 48,213.30 × 9,951.15
  4. Step 4: Simplify right side
    32,140.70x = 479,777,780.30
  5. Step 5: Solve for x
    x = 479,777,780.30/32,140.70
  6. Step 6: Final answer
    x = 14,927.42

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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.