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Finding the Fourth Proportional to 83,917.97, 115,803.38 and 48,083.06

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Solution

The fourth proportional to 83,917.97, 115,803.38 and 48,083.06 is: 66,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,917.97 : 115,803.38 = 48,083.06 : x
  2. Step 2: Convert to fraction form
    83,917.97/115,803.38 = 48,083.06/x
  3. Step 3: Cross multiply
    83,917.97x = 115,803.38 × 48,083.06
  4. Step 4: Simplify right side
    83,917.97x = 5,568,180,049.31
  5. Step 5: Solve for x
    x = 5,568,180,049.31/83,917.97
  6. Step 6: Final answer
    x = 66,352.66

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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.