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Finding the Fourth Proportional to 27,767.99, 41,650.77 and 8,046.11

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Solution

The fourth proportional to 27,767.99, 41,650.77 and 8,046.11 is: 12,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.99 : 41,650.77 = 8,046.11 : x
  2. Step 2: Convert to fraction form
    27,767.99/41,650.77 = 8,046.11/x
  3. Step 3: Cross multiply
    27,767.99x = 41,650.77 × 8,046.11
  4. Step 4: Simplify right side
    27,767.99x = 335,126,677.00
  5. Step 5: Solve for x
    x = 335,126,677.00/27,767.99
  6. Step 6: Final answer
    x = 12,068.81

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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.