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Finding the Fourth Proportional to 27,811.25, 41,704.41 and 16,571.88

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Solution

The fourth proportional to 27,811.25, 41,704.41 and 16,571.88 is: 24,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,811.25 : 41,704.41 = 16,571.88 : x
  2. Step 2: Convert to fraction form
    27,811.25/41,704.41 = 16,571.88/x
  3. Step 3: Cross multiply
    27,811.25x = 41,704.41 × 16,571.88
  4. Step 4: Simplify right side
    27,811.25x = 691,120,477.99
  5. Step 5: Solve for x
    x = 691,120,477.99/27,811.25
  6. Step 6: Final answer
    x = 24,850.39

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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.