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Finding the Fourth Proportional to 27,954.27, 41,922.51 and 9,230.82

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Solution

The fourth proportional to 27,954.27, 41,922.51 and 9,230.82 is: 13,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954.27 : 41,922.51 = 9,230.82 : x
  2. Step 2: Convert to fraction form
    27,954.27/41,922.51 = 9,230.82/x
  3. Step 3: Cross multiply
    27,954.27x = 41,922.51 × 9,230.82
  4. Step 4: Simplify right side
    27,954.27x = 386,979,143.76
  5. Step 5: Solve for x
    x = 386,979,143.76/27,954.27
  6. Step 6: Final answer
    x = 13,843.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.