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Finding the Fourth Proportional to 49,323.31, 68,072.84 and 27,817.48

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Solution

The fourth proportional to 49,323.31, 68,072.84 and 27,817.48 is: 38,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,323.31 : 68,072.84 = 27,817.48 : x
  2. Step 2: Convert to fraction form
    49,323.31/68,072.84 = 27,817.48/x
  3. Step 3: Cross multiply
    49,323.31x = 68,072.84 × 27,817.48
  4. Step 4: Simplify right side
    49,323.31x = 1,893,614,532.65
  5. Step 5: Solve for x
    x = 1,893,614,532.65/49,323.31
  6. Step 6: Final answer
    x = 38,391.88

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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.