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Finding the Fourth Proportional to 27,712.26, 38,202.42 and 22,049.16

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Solution

The fourth proportional to 27,712.26, 38,202.42 and 22,049.16 is: 30,395.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712.26 : 38,202.42 = 22,049.16 : x
  2. Step 2: Convert to fraction form
    27,712.26/38,202.42 = 22,049.16/x
  3. Step 3: Cross multiply
    27,712.26x = 38,202.42 × 22,049.16
  4. Step 4: Simplify right side
    27,712.26x = 842,331,270.97
  5. Step 5: Solve for x
    x = 842,331,270.97/27,712.26
  6. Step 6: Final answer
    x = 30,395.62

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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.