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Finding the Fourth Proportional to 27,571.78, 41,357.91 and 7,850.32

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Solution

The fourth proportional to 27,571.78, 41,357.91 and 7,850.32 is: 11,775.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,571.78 : 41,357.91 = 7,850.32 : x
  2. Step 2: Convert to fraction form
    27,571.78/41,357.91 = 7,850.32/x
  3. Step 3: Cross multiply
    27,571.78x = 41,357.91 × 7,850.32
  4. Step 4: Simplify right side
    27,571.78x = 324,672,828.03
  5. Step 5: Solve for x
    x = 324,672,828.03/27,571.78
  6. Step 6: Final answer
    x = 11,775.55

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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.