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Finding the Fourth Proportional to 105,919.98, 158,879.84 and 27,034.20

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Solution

The fourth proportional to 105,919.98, 158,879.84 and 27,034.20 is: 40,551.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,919.98 : 158,879.84 = 27,034.20 : x
  2. Step 2: Convert to fraction form
    105,919.98/158,879.84 = 27,034.20/x
  3. Step 3: Cross multiply
    105,919.98x = 158,879.84 × 27,034.20
  4. Step 4: Simplify right side
    105,919.98x = 4,295,189,370.53
  5. Step 5: Solve for x
    x = 4,295,189,370.53/105,919.98
  6. Step 6: Final answer
    x = 40,551.27

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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.