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Finding the Fourth Proportional to 33,663.20, 46,438.68 and 21,722

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Solution

The fourth proportional to 33,663.20, 46,438.68 and 21,722 is: 29,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,663.20 : 46,438.68 = 21,722 : x
  2. Step 2: Convert to fraction form
    33,663.20/46,438.68 = 21,722/x
  3. Step 3: Cross multiply
    33,663.20x = 46,438.68 × 21,722
  4. Step 4: Simplify right side
    33,663.20x = 1,008,741,006.96
  5. Step 5: Solve for x
    x = 1,008,741,006.96/33,663.20
  6. Step 6: Final answer
    x = 29,965.69

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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.