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Finding the Fourth Proportional to 32,747.20, 45,191.12 and 17,843.20

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Solution

The fourth proportional to 32,747.20, 45,191.12 and 17,843.20 is: 24,623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,747.20 : 45,191.12 = 17,843.20 : x
  2. Step 2: Convert to fraction form
    32,747.20/45,191.12 = 17,843.20/x
  3. Step 3: Cross multiply
    32,747.20x = 45,191.12 × 17,843.20
  4. Step 4: Simplify right side
    32,747.20x = 806,354,192.38
  5. Step 5: Solve for x
    x = 806,354,192.38/32,747.20
  6. Step 6: Final answer
    x = 24,623.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.