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Finding the Fourth Proportional to 33,269, 45,891.78 and 20,697.80

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Solution

The fourth proportional to 33,269, 45,891.78 and 20,697.80 is: 28,550.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,269 : 45,891.78 = 20,697.80 : x
  2. Step 2: Convert to fraction form
    33,269/45,891.78 = 20,697.80/x
  3. Step 3: Cross multiply
    33,269x = 45,891.78 × 20,697.80
  4. Step 4: Simplify right side
    33,269x = 949,858,884.08
  5. Step 5: Solve for x
    x = 949,858,884.08/33,269
  6. Step 6: Final answer
    x = 28,550.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.