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Finding the Fourth Proportional to 32,140.70, 48,211.05 and 11,366.30

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Solution

The fourth proportional to 32,140.70, 48,211.05 and 11,366.30 is: 17,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,140.70 : 48,211.05 = 11,366.30 : x
  2. Step 2: Convert to fraction form
    32,140.70/48,211.05 = 11,366.30/x
  3. Step 3: Cross multiply
    32,140.70x = 48,211.05 × 11,366.30
  4. Step 4: Simplify right side
    32,140.70x = 547,981,257.62
  5. Step 5: Solve for x
    x = 547,981,257.62/32,140.70
  6. Step 6: Final answer
    x = 17,049.45

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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.