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Finding the Fourth Proportional to 33,245.88, 49,751.76 and 20,771.76

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Solution

The fourth proportional to 33,245.88, 49,751.76 and 20,771.76 is: 31,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,245.88 : 49,751.76 = 20,771.76 : x
  2. Step 2: Convert to fraction form
    33,245.88/49,751.76 = 20,771.76/x
  3. Step 3: Cross multiply
    33,245.88x = 49,751.76 × 20,771.76
  4. Step 4: Simplify right side
    33,245.88x = 1,033,431,618.30
  5. Step 5: Solve for x
    x = 1,033,431,618.30/33,245.88
  6. Step 6: Final answer
    x = 31,084.50

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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.