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Finding the Fourth Proportional to 41,659, 57,489.42 and 22,796.12

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Solution

The fourth proportional to 41,659, 57,489.42 and 22,796.12 is: 31,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,659 : 57,489.42 = 22,796.12 : x
  2. Step 2: Convert to fraction form
    41,659/57,489.42 = 22,796.12/x
  3. Step 3: Cross multiply
    41,659x = 57,489.42 × 22,796.12
  4. Step 4: Simplify right side
    41,659x = 1,310,535,717.05
  5. Step 5: Solve for x
    x = 1,310,535,717.05/41,659
  6. Step 6: Final answer
    x = 31,458.65

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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.