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Finding the Fourth Proportional to 33,383.74, 50,078.34 and 11,197.30

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Solution

The fourth proportional to 33,383.74, 50,078.34 and 11,197.30 is: 16,796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,383.74 : 50,078.34 = 11,197.30 : x
  2. Step 2: Convert to fraction form
    33,383.74/50,078.34 = 11,197.30/x
  3. Step 3: Cross multiply
    33,383.74x = 50,078.34 × 11,197.30
  4. Step 4: Simplify right side
    33,383.74x = 560,742,196.48
  5. Step 5: Solve for x
    x = 560,742,196.48/33,383.74
  6. Step 6: Final answer
    x = 16,796.87

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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.