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Finding the Fourth Proportional to 31,376, 43,299.18 and 17,229.15

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Solution

The fourth proportional to 31,376, 43,299.18 and 17,229.15 is: 23,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,376 : 43,299.18 = 17,229.15 : x
  2. Step 2: Convert to fraction form
    31,376/43,299.18 = 17,229.15/x
  3. Step 3: Cross multiply
    31,376x = 43,299.18 × 17,229.15
  4. Step 4: Simplify right side
    31,376x = 746,008,067.10
  5. Step 5: Solve for x
    x = 746,008,067.10/31,376
  6. Step 6: Final answer
    x = 23,776.39

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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.