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Finding the Fourth Proportional to 83,843.57, 115,697.22 and 49,382.93

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Solution

The fourth proportional to 83,843.57, 115,697.22 and 49,382.93 is: 68,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,843.57 : 115,697.22 = 49,382.93 : x
  2. Step 2: Convert to fraction form
    83,843.57/115,697.22 = 49,382.93/x
  3. Step 3: Cross multiply
    83,843.57x = 115,697.22 × 49,382.93
  4. Step 4: Simplify right side
    83,843.57x = 5,713,467,716.45
  5. Step 5: Solve for x
    x = 5,713,467,716.45/83,843.57
  6. Step 6: Final answer
    x = 68,144.38

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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.