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Finding the Fourth Proportional to 49,167.86, 67,851.50 and 27,951.21

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Solution

The fourth proportional to 49,167.86, 67,851.50 and 27,951.21 is: 38,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,167.86 : 67,851.50 = 27,951.21 : x
  2. Step 2: Convert to fraction form
    49,167.86/67,851.50 = 27,951.21/x
  3. Step 3: Cross multiply
    49,167.86x = 67,851.50 × 27,951.21
  4. Step 4: Simplify right side
    49,167.86x = 1,896,531,385.56
  5. Step 5: Solve for x
    x = 1,896,531,385.56/49,167.86
  6. Step 6: Final answer
    x = 38,572.59

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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.