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Finding the Fourth Proportional to 27,887.79, 41,832.87 and 8,166.36

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Solution

The fourth proportional to 27,887.79, 41,832.87 and 8,166.36 is: 12,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,887.79 : 41,832.87 = 8,166.36 : x
  2. Step 2: Convert to fraction form
    27,887.79/41,832.87 = 8,166.36/x
  3. Step 3: Cross multiply
    27,887.79x = 41,832.87 × 8,166.36
  4. Step 4: Simplify right side
    27,887.79x = 341,622,276.25
  5. Step 5: Solve for x
    x = 341,622,276.25/27,887.79
  6. Step 6: Final answer
    x = 12,249.89

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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.