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Finding the Fourth Proportional to 27,765.99, 41,647.77 and 8,044.11

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Solution

The fourth proportional to 27,765.99, 41,647.77 and 8,044.11 is: 12,065.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765.99 : 41,647.77 = 8,044.11 : x
  2. Step 2: Convert to fraction form
    27,765.99/41,647.77 = 8,044.11/x
  3. Step 3: Cross multiply
    27,765.99x = 41,647.77 × 8,044.11
  4. Step 4: Simplify right side
    27,765.99x = 335,019,243.13
  5. Step 5: Solve for x
    x = 335,019,243.13/27,765.99
  6. Step 6: Final answer
    x = 12,065.81

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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.