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Finding the Fourth Proportional to 41,311.75, 57,010.10 and 22,448.87

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Solution

The fourth proportional to 41,311.75, 57,010.10 and 22,448.87 is: 30,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,311.75 : 57,010.10 = 22,448.87 : x
  2. Step 2: Convert to fraction form
    41,311.75/57,010.10 = 22,448.87/x
  3. Step 3: Cross multiply
    41,311.75x = 57,010.10 × 22,448.87
  4. Step 4: Simplify right side
    41,311.75x = 1,279,812,323.59
  5. Step 5: Solve for x
    x = 1,279,812,323.59/41,311.75
  6. Step 6: Final answer
    x = 30,979.38

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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.