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Finding the Fourth Proportional to 49,825.88, 68,759.71 and 27,469.88

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Solution

The fourth proportional to 49,825.88, 68,759.71 and 27,469.88 is: 37,908.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,825.88 : 68,759.71 = 27,469.88 : x
  2. Step 2: Convert to fraction form
    49,825.88/68,759.71 = 27,469.88/x
  3. Step 3: Cross multiply
    49,825.88x = 68,759.71 × 27,469.88
  4. Step 4: Simplify right side
    49,825.88x = 1,888,820,570.06
  5. Step 5: Solve for x
    x = 1,888,820,570.06/49,825.88
  6. Step 6: Final answer
    x = 37,908.43

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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.