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Finding the Fourth Proportional to 49,400, 68,172 and 27,044

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Solution

The fourth proportional to 49,400, 68,172 and 27,044 is: 37,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,400 : 68,172 = 27,044 : x
  2. Step 2: Convert to fraction form
    49,400/68,172 = 27,044/x
  3. Step 3: Cross multiply
    49,400x = 68,172 × 27,044
  4. Step 4: Simplify right side
    49,400x = 1,843,643,568
  5. Step 5: Solve for x
    x = 1,843,643,568/49,400
  6. Step 6: Final answer
    x = 37,320.72

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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.