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Finding the Fourth Proportional to 83,971.82, 115,873.49 and 49,974.82

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Solution

The fourth proportional to 83,971.82, 115,873.49 and 49,974.82 is: 68,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,971.82 : 115,873.49 = 49,974.82 : x
  2. Step 2: Convert to fraction form
    83,971.82/115,873.49 = 49,974.82/x
  3. Step 3: Cross multiply
    83,971.82x = 115,873.49 × 49,974.82
  4. Step 4: Simplify right side
    83,971.82x = 5,790,757,152.01
  5. Step 5: Solve for x
    x = 5,790,757,152.01/83,971.82
  6. Step 6: Final answer
    x = 68,960.72

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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.