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Finding the Fourth Proportional to 33,266, 45,887.64 and 20,694.80

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Solution

The fourth proportional to 33,266, 45,887.64 and 20,694.80 is: 28,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,266 : 45,887.64 = 20,694.80 : x
  2. Step 2: Convert to fraction form
    33,266/45,887.64 = 20,694.80/x
  3. Step 3: Cross multiply
    33,266x = 45,887.64 × 20,694.80
  4. Step 4: Simplify right side
    33,266x = 949,635,532.27
  5. Step 5: Solve for x
    x = 949,635,532.27/33,266
  6. Step 6: Final answer
    x = 28,546.73

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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.