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Finding the Fourth Proportional to 41,874, 57,786.15 and 23,011.26

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Solution

The fourth proportional to 41,874, 57,786.15 and 23,011.26 is: 31,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,874 : 57,786.15 = 23,011.26 : x
  2. Step 2: Convert to fraction form
    41,874/57,786.15 = 23,011.26/x
  3. Step 3: Cross multiply
    41,874x = 57,786.15 × 23,011.26
  4. Step 4: Simplify right side
    41,874x = 1,329,732,122.05
  5. Step 5: Solve for x
    x = 1,329,732,122.05/41,874
  6. Step 6: Final answer
    x = 31,755.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.