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Finding the Fourth Proportional to 31,898.27, 44,013.27 and 17,748.38

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Solution

The fourth proportional to 31,898.27, 44,013.27 and 17,748.38 is: 24,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,898.27 : 44,013.27 = 17,748.38 : x
  2. Step 2: Convert to fraction form
    31,898.27/44,013.27 = 17,748.38/x
  3. Step 3: Cross multiply
    31,898.27x = 44,013.27 × 17,748.38
  4. Step 4: Simplify right side
    31,898.27x = 781,164,417.59
  5. Step 5: Solve for x
    x = 781,164,417.59/31,898.27
  6. Step 6: Final answer
    x = 24,489.24

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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.