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Finding the Fourth Proportional to 71,736.80, 107,604.32 and 32,266.04

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Solution

The fourth proportional to 71,736.80, 107,604.32 and 32,266.04 is: 48,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,736.80 : 107,604.32 = 32,266.04 : x
  2. Step 2: Convert to fraction form
    71,736.80/107,604.32 = 32,266.04/x
  3. Step 3: Cross multiply
    71,736.80x = 107,604.32 × 32,266.04
  4. Step 4: Simplify right side
    71,736.80x = 3,471,964,593.94
  5. Step 5: Solve for x
    x = 3,471,964,593.94/71,736.80
  6. Step 6: Final answer
    x = 48,398.66

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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.