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Finding the Fourth Proportional to 27,859.44, 41,789.96 and 8,135.92

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Solution

The fourth proportional to 27,859.44, 41,789.96 and 8,135.92 is: 12,204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,859.44 : 41,789.96 = 8,135.92 : x
  2. Step 2: Convert to fraction form
    27,859.44/41,789.96 = 8,135.92/x
  3. Step 3: Cross multiply
    27,859.44x = 41,789.96 × 8,135.92
  4. Step 4: Simplify right side
    27,859.44x = 339,999,771.36
  5. Step 5: Solve for x
    x = 339,999,771.36/27,859.44
  6. Step 6: Final answer
    x = 12,204.11

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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.