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Finding the Fourth Proportional to 33,638.58, 50,464.02 and 13,906.44

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Solution

The fourth proportional to 33,638.58, 50,464.02 and 13,906.44 is: 20,862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638.58 : 50,464.02 = 13,906.44 : x
  2. Step 2: Convert to fraction form
    33,638.58/50,464.02 = 13,906.44/x
  3. Step 3: Cross multiply
    33,638.58x = 50,464.02 × 13,906.44
  4. Step 4: Simplify right side
    33,638.58x = 701,774,866.29
  5. Step 5: Solve for x
    x = 701,774,866.29/33,638.58
  6. Step 6: Final answer
    x = 20,862.20

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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.