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Finding the Fourth Proportional to 27,042.78, 40,570.19 and 8,324.49

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Solution

The fourth proportional to 27,042.78, 40,570.19 and 8,324.49 is: 12,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042.78 : 40,570.19 = 8,324.49 : x
  2. Step 2: Convert to fraction form
    27,042.78/40,570.19 = 8,324.49/x
  3. Step 3: Cross multiply
    27,042.78x = 40,570.19 × 8,324.49
  4. Step 4: Simplify right side
    27,042.78x = 337,726,099.33
  5. Step 5: Solve for x
    x = 337,726,099.33/27,042.78
  6. Step 6: Final answer
    x = 12,488.59

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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.