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Finding the Fourth Proportional to 33,822.70, 46,677 and 20,398.30

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Solution

The fourth proportional to 33,822.70, 46,677 and 20,398.30 is: 28,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,822.70 : 46,677 = 20,398.30 : x
  2. Step 2: Convert to fraction form
    33,822.70/46,677 = 20,398.30/x
  3. Step 3: Cross multiply
    33,822.70x = 46,677 × 20,398.30
  4. Step 4: Simplify right side
    33,822.70x = 952,131,449.10
  5. Step 5: Solve for x
    x = 952,131,449.10/33,822.70
  6. Step 6: Final answer
    x = 28,150.66

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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.