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Finding the Fourth Proportional to 27,846.65, 41,765.93 and 8,123.15

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Solution

The fourth proportional to 27,846.65, 41,765.93 and 8,123.15 is: 12,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.65 : 41,765.93 = 8,123.15 : x
  2. Step 2: Convert to fraction form
    27,846.65/41,765.93 = 8,123.15/x
  3. Step 3: Cross multiply
    27,846.65x = 41,765.93 × 8,123.15
  4. Step 4: Simplify right side
    27,846.65x = 339,270,873.66
  5. Step 5: Solve for x
    x = 339,270,873.66/27,846.65
  6. Step 6: Final answer
    x = 12,183.54

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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.