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Finding the Fourth Proportional to 27,963.74, 41,906.06 and 15,489.48

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Solution

The fourth proportional to 27,963.74, 41,906.06 and 15,489.48 is: 23,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,963.74 : 41,906.06 = 15,489.48 : x
  2. Step 2: Convert to fraction form
    27,963.74/41,906.06 = 15,489.48/x
  3. Step 3: Cross multiply
    27,963.74x = 41,906.06 × 15,489.48
  4. Step 4: Simplify right side
    27,963.74x = 649,103,078.25
  5. Step 5: Solve for x
    x = 649,103,078.25/27,963.74
  6. Step 6: Final answer
    x = 23,212.31

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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.