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Finding the Fourth Proportional to 83,857.52, 115,716.38 and 49,396.78

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Solution

The fourth proportional to 83,857.52, 115,716.38 and 49,396.78 is: 68,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,857.52 : 115,716.38 = 49,396.78 : x
  2. Step 2: Convert to fraction form
    83,857.52/115,716.38 = 49,396.78/x
  3. Step 3: Cross multiply
    83,857.52x = 115,716.38 × 49,396.78
  4. Step 4: Simplify right side
    83,857.52x = 5,716,016,565.26
  5. Step 5: Solve for x
    x = 5,716,016,565.26/83,857.52
  6. Step 6: Final answer
    x = 68,163.43

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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.