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Finding the Fourth Proportional to 27,879.31, 41,827.16 and 11,230.77

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Solution

The fourth proportional to 27,879.31, 41,827.16 and 11,230.77 is: 16,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879.31 : 41,827.16 = 11,230.77 : x
  2. Step 2: Convert to fraction form
    27,879.31/41,827.16 = 11,230.77/x
  3. Step 3: Cross multiply
    27,879.31x = 41,827.16 × 11,230.77
  4. Step 4: Simplify right side
    27,879.31x = 469,751,213.71
  5. Step 5: Solve for x
    x = 469,751,213.71/27,879.31
  6. Step 6: Final answer
    x = 16,849.46

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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.