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Finding the Fourth Proportional to 41,658.94, 57,489.09 and 22,538.66

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Solution

The fourth proportional to 41,658.94, 57,489.09 and 22,538.66 is: 31,103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,658.94 : 57,489.09 = 22,538.66 : x
  2. Step 2: Convert to fraction form
    41,658.94/57,489.09 = 22,538.66/x
  3. Step 3: Cross multiply
    41,658.94x = 57,489.09 × 22,538.66
  4. Step 4: Simplify right side
    41,658.94x = 1,295,727,053.22
  5. Step 5: Solve for x
    x = 1,295,727,053.22/41,658.94
  6. Step 6: Final answer
    x = 31,103.22

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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.