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Finding the Fourth Proportional to 31,894.16, 44,013.92 and 17,747

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Solution

The fourth proportional to 31,894.16, 44,013.92 and 17,747 is: 24,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.16 : 44,013.92 = 17,747 : x
  2. Step 2: Convert to fraction form
    31,894.16/44,013.92 = 17,747/x
  3. Step 3: Cross multiply
    31,894.16x = 44,013.92 × 17,747
  4. Step 4: Simplify right side
    31,894.16x = 781,115,038.24
  5. Step 5: Solve for x
    x = 781,115,038.24/31,894.16
  6. Step 6: Final answer
    x = 24,490.85

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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.