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Finding the Fourth Proportional to 32,286.50, 48,431.80 and 8,593.66

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Solution

The fourth proportional to 32,286.50, 48,431.80 and 8,593.66 is: 12,891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286.50 : 48,431.80 = 8,593.66 : x
  2. Step 2: Convert to fraction form
    32,286.50/48,431.80 = 8,593.66/x
  3. Step 3: Cross multiply
    32,286.50x = 48,431.80 × 8,593.66
  4. Step 4: Simplify right side
    32,286.50x = 416,206,265.18
  5. Step 5: Solve for x
    x = 416,206,265.18/32,286.50
  6. Step 6: Final answer
    x = 12,891.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.