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Finding the Fourth Proportional to 27,855.87, 41,786.73 and 8,134.48

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Solution

The fourth proportional to 27,855.87, 41,786.73 and 8,134.48 is: 12,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,855.87 : 41,786.73 = 8,134.48 : x
  2. Step 2: Convert to fraction form
    27,855.87/41,786.73 = 8,134.48/x
  3. Step 3: Cross multiply
    27,855.87x = 41,786.73 × 8,134.48
  4. Step 4: Simplify right side
    27,855.87x = 339,913,194.65
  5. Step 5: Solve for x
    x = 339,913,194.65/27,855.87
  6. Step 6: Final answer
    x = 12,202.57

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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.