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Finding the Fourth Proportional to 32,676.97, 49,045.52 and 20,221.33

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Solution

The fourth proportional to 32,676.97, 49,045.52 and 20,221.33 is: 30,350.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.97 : 49,045.52 = 20,221.33 : x
  2. Step 2: Convert to fraction form
    32,676.97/49,045.52 = 20,221.33/x
  3. Step 3: Cross multiply
    32,676.97x = 49,045.52 × 20,221.33
  4. Step 4: Simplify right side
    32,676.97x = 991,765,644.94
  5. Step 5: Solve for x
    x = 991,765,644.94/32,676.97
  6. Step 6: Final answer
    x = 30,350.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.