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Finding the Fourth Proportional to 41,397.86, 57,098.24 and 26,277.38

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Solution

The fourth proportional to 41,397.86, 57,098.24 and 26,277.38 is: 36,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,397.86 : 57,098.24 = 26,277.38 : x
  2. Step 2: Convert to fraction form
    41,397.86/57,098.24 = 26,277.38/x
  3. Step 3: Cross multiply
    41,397.86x = 57,098.24 × 26,277.38
  4. Step 4: Simplify right side
    41,397.86x = 1,500,392,149.81
  5. Step 5: Solve for x
    x = 1,500,392,149.81/41,397.86
  6. Step 6: Final answer
    x = 36,243.23

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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.