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Finding the Fourth Proportional to 31,825.92, 47,752.38 and 17,031

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Solution

The fourth proportional to 31,825.92, 47,752.38 and 17,031 is: 25,553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,825.92 : 47,752.38 = 17,031 : x
  2. Step 2: Convert to fraction form
    31,825.92/47,752.38 = 17,031/x
  3. Step 3: Cross multiply
    31,825.92x = 47,752.38 × 17,031
  4. Step 4: Simplify right side
    31,825.92x = 813,270,783.78
  5. Step 5: Solve for x
    x = 813,270,783.78/31,825.92
  6. Step 6: Final answer
    x = 25,553.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.