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Finding the Fourth Proportional to 49,469.62, 68,265.63 and 27,959.80

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Solution

The fourth proportional to 49,469.62, 68,265.63 and 27,959.80 is: 38,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,469.62 : 68,265.63 = 27,959.80 : x
  2. Step 2: Convert to fraction form
    49,469.62/68,265.63 = 27,959.80/x
  3. Step 3: Cross multiply
    49,469.62x = 68,265.63 × 27,959.80
  4. Step 4: Simplify right side
    49,469.62x = 1,908,693,361.67
  5. Step 5: Solve for x
    x = 1,908,693,361.67/49,469.62
  6. Step 6: Final answer
    x = 38,583.14

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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.