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Finding the Fourth Proportional to 27,755.83, 41,617.82 and 10,869.08

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Solution

The fourth proportional to 27,755.83, 41,617.82 and 10,869.08 is: 16,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,755.83 : 41,617.82 = 10,869.08 : x
  2. Step 2: Convert to fraction form
    27,755.83/41,617.82 = 10,869.08/x
  3. Step 3: Cross multiply
    27,755.83x = 41,617.82 × 10,869.08
  4. Step 4: Simplify right side
    27,755.83x = 452,347,234.09
  5. Step 5: Solve for x
    x = 452,347,234.09/27,755.83
  6. Step 6: Final answer
    x = 16,297.38

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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.