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Finding the Fourth Proportional to 31,752.91, 43,801.17 and 20,423.78

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Solution

The fourth proportional to 31,752.91, 43,801.17 and 20,423.78 is: 28,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,752.91 : 43,801.17 = 20,423.78 : x
  2. Step 2: Convert to fraction form
    31,752.91/43,801.17 = 20,423.78/x
  3. Step 3: Cross multiply
    31,752.91x = 43,801.17 × 20,423.78
  4. Step 4: Simplify right side
    31,752.91x = 894,585,240.82
  5. Step 5: Solve for x
    x = 894,585,240.82/31,752.91
  6. Step 6: Final answer
    x = 28,173.34

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