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Finding the Fourth Proportional to 27,797.92, 41,699.19 and 8,076.48

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Solution

The fourth proportional to 27,797.92, 41,699.19 and 8,076.48 is: 12,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.92 : 41,699.19 = 8,076.48 : x
  2. Step 2: Convert to fraction form
    27,797.92/41,699.19 = 8,076.48/x
  3. Step 3: Cross multiply
    27,797.92x = 41,699.19 × 8,076.48
  4. Step 4: Simplify right side
    27,797.92x = 336,782,502.54
  5. Step 5: Solve for x
    x = 336,782,502.54/27,797.92
  6. Step 6: Final answer
    x = 12,115.39

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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.