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Finding the Fourth Proportional to 32,304.80, 48,453.32 and 8,614.13

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Solution

The fourth proportional to 32,304.80, 48,453.32 and 8,614.13 is: 12,920.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,304.80 : 48,453.32 = 8,614.13 : x
  2. Step 2: Convert to fraction form
    32,304.80/48,453.32 = 8,614.13/x
  3. Step 3: Cross multiply
    32,304.80x = 48,453.32 × 8,614.13
  4. Step 4: Simplify right side
    32,304.80x = 417,382,976.68
  5. Step 5: Solve for x
    x = 417,382,976.68/32,304.80
  6. Step 6: Final answer
    x = 12,920.15

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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.