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Finding the Fourth Proportional to 41,659.38, 57,489.94 and 22,796.50

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Solution

The fourth proportional to 41,659.38, 57,489.94 and 22,796.50 is: 31,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,659.38 : 57,489.94 = 22,796.50 : x
  2. Step 2: Convert to fraction form
    41,659.38/57,489.94 = 22,796.50/x
  3. Step 3: Cross multiply
    41,659.38x = 57,489.94 × 22,796.50
  4. Step 4: Simplify right side
    41,659.38x = 1,310,569,417.21
  5. Step 5: Solve for x
    x = 1,310,569,417.21/41,659.38
  6. Step 6: Final answer
    x = 31,459.17

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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.