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Finding the Fourth Proportional to 33,890.34, 46,757.46 and 20,456.49

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Solution

The fourth proportional to 33,890.34, 46,757.46 and 20,456.49 is: 28,223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,890.34 : 46,757.46 = 20,456.49 : x
  2. Step 2: Convert to fraction form
    33,890.34/46,757.46 = 20,456.49/x
  3. Step 3: Cross multiply
    33,890.34x = 46,757.46 × 20,456.49
  4. Step 4: Simplify right side
    33,890.34x = 956,493,512.92
  5. Step 5: Solve for x
    x = 956,493,512.92/33,890.34
  6. Step 6: Final answer
    x = 28,223.19

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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.