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Finding the Fourth Proportional to 33,882, 46,757.16 and 20,634

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Solution

The fourth proportional to 33,882, 46,757.16 and 20,634 is: 28,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,882 : 46,757.16 = 20,634 : x
  2. Step 2: Convert to fraction form
    33,882/46,757.16 = 20,634/x
  3. Step 3: Cross multiply
    33,882x = 46,757.16 × 20,634
  4. Step 4: Simplify right side
    33,882x = 964,787,239.44
  5. Step 5: Solve for x
    x = 964,787,239.44/33,882
  6. Step 6: Final answer
    x = 28,474.92

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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.