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Finding the Fourth Proportional to 49,463.36, 68,262.79 and 27,945.65

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Solution

The fourth proportional to 49,463.36, 68,262.79 and 27,945.65 is: 38,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,463.36 : 68,262.79 = 27,945.65 : x
  2. Step 2: Convert to fraction form
    49,463.36/68,262.79 = 27,945.65/x
  3. Step 3: Cross multiply
    49,463.36x = 68,262.79 × 27,945.65
  4. Step 4: Simplify right side
    49,463.36x = 1,907,647,626.19
  5. Step 5: Solve for x
    x = 1,907,647,626.19/49,463.36
  6. Step 6: Final answer
    x = 38,566.88

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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.