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Finding the Fourth Proportional to 41,571, 57,367.98 and 22,708.14

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Solution

The fourth proportional to 41,571, 57,367.98 and 22,708.14 is: 31,337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,571 : 57,367.98 = 22,708.14 : x
  2. Step 2: Convert to fraction form
    41,571/57,367.98 = 22,708.14/x
  3. Step 3: Cross multiply
    41,571x = 57,367.98 × 22,708.14
  4. Step 4: Simplify right side
    41,571x = 1,302,720,121.36
  5. Step 5: Solve for x
    x = 1,302,720,121.36/41,571
  6. Step 6: Final answer
    x = 31,337.23

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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.