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Finding the Fourth Proportional to 33,553.84, 46,305 and 18,446.32

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Solution

The fourth proportional to 33,553.84, 46,305 and 18,446.32 is: 25,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,553.84 : 46,305 = 18,446.32 : x
  2. Step 2: Convert to fraction form
    33,553.84/46,305 = 18,446.32/x
  3. Step 3: Cross multiply
    33,553.84x = 46,305 × 18,446.32
  4. Step 4: Simplify right side
    33,553.84x = 854,156,847.60
  5. Step 5: Solve for x
    x = 854,156,847.60/33,553.84
  6. Step 6: Final answer
    x = 25,456.31

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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.