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Finding the Fourth Proportional to 32,217.46, 48,332.91 and 10,033.78

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Solution

The fourth proportional to 32,217.46, 48,332.91 and 10,033.78 is: 15,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,217.46 : 48,332.91 = 10,033.78 : x
  2. Step 2: Convert to fraction form
    32,217.46/48,332.91 = 10,033.78/x
  3. Step 3: Cross multiply
    32,217.46x = 48,332.91 × 10,033.78
  4. Step 4: Simplify right side
    32,217.46x = 484,961,785.70
  5. Step 5: Solve for x
    x = 484,961,785.70/32,217.46
  6. Step 6: Final answer
    x = 15,052.76

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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.