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Finding the Fourth Proportional to 49,436, 68,224.92 and 27,080

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Solution

The fourth proportional to 49,436, 68,224.92 and 27,080 is: 37,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,436 : 68,224.92 = 27,080 : x
  2. Step 2: Convert to fraction form
    49,436/68,224.92 = 27,080/x
  3. Step 3: Cross multiply
    49,436x = 68,224.92 × 27,080
  4. Step 4: Simplify right side
    49,436x = 1,847,530,833.60
  5. Step 5: Solve for x
    x = 1,847,530,833.60/49,436
  6. Step 6: Final answer
    x = 37,372.17

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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.