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Finding the Fourth Proportional to 31,891.77, 47,843.46 and 10,545.71

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Solution

The fourth proportional to 31,891.77, 47,843.46 and 10,545.71 is: 15,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.77 : 47,843.46 = 10,545.71 : x
  2. Step 2: Convert to fraction form
    31,891.77/47,843.46 = 10,545.71/x
  3. Step 3: Cross multiply
    31,891.77x = 47,843.46 × 10,545.71
  4. Step 4: Simplify right side
    31,891.77x = 504,543,015.34
  5. Step 5: Solve for x
    x = 504,543,015.34/31,891.77
  6. Step 6: Final answer
    x = 15,820.48

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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.