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Finding the Fourth Proportional to 27,766.99, 41,649.27 and 8,045.11

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Solution

The fourth proportional to 27,766.99, 41,649.27 and 8,045.11 is: 12,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,766.99 : 41,649.27 = 8,045.11 : x
  2. Step 2: Convert to fraction form
    27,766.99/41,649.27 = 8,045.11/x
  3. Step 3: Cross multiply
    27,766.99x = 41,649.27 × 8,045.11
  4. Step 4: Simplify right side
    27,766.99x = 335,072,958.57
  5. Step 5: Solve for x
    x = 335,072,958.57/27,766.99
  6. Step 6: Final answer
    x = 12,067.31

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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.