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Finding the Fourth Proportional to 31,251.92, 43,128.84 and 17,825.36

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Solution

The fourth proportional to 31,251.92, 43,128.84 and 17,825.36 is: 24,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,251.92 : 43,128.84 = 17,825.36 : x
  2. Step 2: Convert to fraction form
    31,251.92/43,128.84 = 17,825.36/x
  3. Step 3: Cross multiply
    31,251.92x = 43,128.84 × 17,825.36
  4. Step 4: Simplify right side
    31,251.92x = 768,787,099.38
  5. Step 5: Solve for x
    x = 768,787,099.38/31,251.92
  6. Step 6: Final answer
    x = 24,599.68

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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.