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Finding the Fourth Proportional to 83,391.93, 115,034.18 and 49,367.22

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Solution

The fourth proportional to 83,391.93, 115,034.18 and 49,367.22 is: 68,099.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,391.93 : 115,034.18 = 49,367.22 : x
  2. Step 2: Convert to fraction form
    83,391.93/115,034.18 = 49,367.22/x
  3. Step 3: Cross multiply
    83,391.93x = 115,034.18 × 49,367.22
  4. Step 4: Simplify right side
    83,391.93x = 5,678,917,424.74
  5. Step 5: Solve for x
    x = 5,678,917,424.74/83,391.93
  6. Step 6: Final answer
    x = 68,099.12

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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.