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Finding the Fourth Proportional to 27,879.44, 41,808.25 and 10,105.88

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Solution

The fourth proportional to 27,879.44, 41,808.25 and 10,105.88 is: 15,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879.44 : 41,808.25 = 10,105.88 : x
  2. Step 2: Convert to fraction form
    27,879.44/41,808.25 = 10,105.88/x
  3. Step 3: Cross multiply
    27,879.44x = 41,808.25 × 10,105.88
  4. Step 4: Simplify right side
    27,879.44x = 422,509,157.51
  5. Step 5: Solve for x
    x = 422,509,157.51/27,879.44
  6. Step 6: Final answer
    x = 15,154.87

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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.