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Finding the Fourth Proportional to 49,494.82, 68,304.16 and 27,982.84

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Solution

The fourth proportional to 49,494.82, 68,304.16 and 27,982.84 is: 38,617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,494.82 : 68,304.16 = 27,982.84 : x
  2. Step 2: Convert to fraction form
    49,494.82/68,304.16 = 27,982.84/x
  3. Step 3: Cross multiply
    49,494.82x = 68,304.16 × 27,982.84
  4. Step 4: Simplify right side
    49,494.82x = 1,911,344,380.61
  5. Step 5: Solve for x
    x = 1,911,344,380.61/49,494.82
  6. Step 6: Final answer
    x = 38,617.06

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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.