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Finding the Fourth Proportional to 33,892, 46,770.96 and 20,644

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Solution

The fourth proportional to 33,892, 46,770.96 and 20,644 is: 28,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,892 : 46,770.96 = 20,644 : x
  2. Step 2: Convert to fraction form
    33,892/46,770.96 = 20,644/x
  3. Step 3: Cross multiply
    33,892x = 46,770.96 × 20,644
  4. Step 4: Simplify right side
    33,892x = 965,539,698.24
  5. Step 5: Solve for x
    x = 965,539,698.24/33,892
  6. Step 6: Final answer
    x = 28,488.72

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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.