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Finding the Fourth Proportional to 27,879.24, 41,789.62 and 9,154.48

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Solution

The fourth proportional to 27,879.24, 41,789.62 and 9,154.48 is: 13,722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879.24 : 41,789.62 = 9,154.48 : x
  2. Step 2: Convert to fraction form
    27,879.24/41,789.62 = 9,154.48/x
  3. Step 3: Cross multiply
    27,879.24x = 41,789.62 × 9,154.48
  4. Step 4: Simplify right side
    27,879.24x = 382,562,240.50
  5. Step 5: Solve for x
    x = 382,562,240.50/27,879.24
  6. Step 6: Final answer
    x = 13,722.12

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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.