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Finding the Fourth Proportional to 31,343.30, 43,245.13 and 20,171.78

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Solution

The fourth proportional to 31,343.30, 43,245.13 and 20,171.78 is: 27,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,343.30 : 43,245.13 = 20,171.78 : x
  2. Step 2: Convert to fraction form
    31,343.30/43,245.13 = 20,171.78/x
  3. Step 3: Cross multiply
    31,343.30x = 43,245.13 × 20,171.78
  4. Step 4: Simplify right side
    31,343.30x = 872,331,248.43
  5. Step 5: Solve for x
    x = 872,331,248.43/31,343.30
  6. Step 6: Final answer
    x = 27,831.51

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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.