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Finding the Fourth Proportional to 31,664.86, 43,697.49 and 17,517.71

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Solution

The fourth proportional to 31,664.86, 43,697.49 and 17,517.71 is: 24,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,664.86 : 43,697.49 = 17,517.71 : x
  2. Step 2: Convert to fraction form
    31,664.86/43,697.49 = 17,517.71/x
  3. Step 3: Cross multiply
    31,664.86x = 43,697.49 × 17,517.71
  4. Step 4: Simplify right side
    31,664.86x = 765,479,957.55
  5. Step 5: Solve for x
    x = 765,479,957.55/31,664.86
  6. Step 6: Final answer
    x = 24,174.43

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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.