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Finding the Fourth Proportional to 32,299.46, 48,449.19 and 10,114.57

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Solution

The fourth proportional to 32,299.46, 48,449.19 and 10,114.57 is: 15,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,299.46 : 48,449.19 = 10,114.57 : x
  2. Step 2: Convert to fraction form
    32,299.46/48,449.19 = 10,114.57/x
  3. Step 3: Cross multiply
    32,299.46x = 48,449.19 × 10,114.57
  4. Step 4: Simplify right side
    32,299.46x = 490,042,723.70
  5. Step 5: Solve for x
    x = 490,042,723.70/32,299.46
  6. Step 6: Final answer
    x = 15,171.86

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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.