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Finding the Fourth Proportional to 49,769.90, 68,658.27 and 31,850.54

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Solution

The fourth proportional to 49,769.90, 68,658.27 and 31,850.54 is: 43,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,769.90 : 68,658.27 = 31,850.54 : x
  2. Step 2: Convert to fraction form
    49,769.90/68,658.27 = 31,850.54/x
  3. Step 3: Cross multiply
    49,769.90x = 68,658.27 × 31,850.54
  4. Step 4: Simplify right side
    49,769.90x = 2,186,802,974.97
  5. Step 5: Solve for x
    x = 2,186,802,974.97/49,769.90
  6. Step 6: Final answer
    x = 43,938.26

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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.