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Finding the Fourth Proportional to 33,924.29, 46,814.41 and 20,493.20

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Solution

The fourth proportional to 33,924.29, 46,814.41 and 20,493.20 is: 28,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,924.29 : 46,814.41 = 20,493.20 : x
  2. Step 2: Convert to fraction form
    33,924.29/46,814.41 = 20,493.20/x
  3. Step 3: Cross multiply
    33,924.29x = 46,814.41 × 20,493.20
  4. Step 4: Simplify right side
    33,924.29x = 959,377,267.30
  5. Step 5: Solve for x
    x = 959,377,267.30/33,924.29
  6. Step 6: Final answer
    x = 28,279.95

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