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Finding the Fourth Proportional to 27,844.19, 41,775.85 and 8,125.65

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Solution

The fourth proportional to 27,844.19, 41,775.85 and 8,125.65 is: 12,191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844.19 : 41,775.85 = 8,125.65 : x
  2. Step 2: Convert to fraction form
    27,844.19/41,775.85 = 8,125.65/x
  3. Step 3: Cross multiply
    27,844.19x = 41,775.85 × 8,125.65
  4. Step 4: Simplify right side
    27,844.19x = 339,455,945.71
  5. Step 5: Solve for x
    x = 339,455,945.71/27,844.19
  6. Step 6: Final answer
    x = 12,191.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.