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Finding the Fourth Proportional to 41,796.92, 57,679.50 and 22,934

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Solution

The fourth proportional to 41,796.92, 57,679.50 and 22,934 is: 31,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,796.92 : 57,679.50 = 22,934 : x
  2. Step 2: Convert to fraction form
    41,796.92/57,679.50 = 22,934/x
  3. Step 3: Cross multiply
    41,796.92x = 57,679.50 × 22,934
  4. Step 4: Simplify right side
    41,796.92x = 1,322,821,653
  5. Step 5: Solve for x
    x = 1,322,821,653/41,796.92
  6. Step 6: Final answer
    x = 31,648.78

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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.