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Finding the Fourth Proportional to 49,167.11, 67,850.46 and 27,950.46

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Solution

The fourth proportional to 49,167.11, 67,850.46 and 27,950.46 is: 38,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,167.11 : 67,850.46 = 27,950.46 : x
  2. Step 2: Convert to fraction form
    49,167.11/67,850.46 = 27,950.46/x
  3. Step 3: Cross multiply
    49,167.11x = 67,850.46 × 27,950.46
  4. Step 4: Simplify right side
    49,167.11x = 1,896,451,568.21
  5. Step 5: Solve for x
    x = 1,896,451,568.21/49,167.11
  6. Step 6: Final answer
    x = 38,571.55

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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.