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Finding the Fourth Proportional to 27,481.75, 41,222.72 and 6,705.25

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Solution

The fourth proportional to 27,481.75, 41,222.72 and 6,705.25 is: 10,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,481.75 : 41,222.72 = 6,705.25 : x
  2. Step 2: Convert to fraction form
    27,481.75/41,222.72 = 6,705.25/x
  3. Step 3: Cross multiply
    27,481.75x = 41,222.72 × 6,705.25
  4. Step 4: Simplify right side
    27,481.75x = 276,408,556.99
  5. Step 5: Solve for x
    x = 276,408,556.99/27,481.75
  6. Step 6: Final answer
    x = 10,057.90

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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.