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Finding the Fourth Proportional to 33,566.64, 50,351.08 and 10,193

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Solution

The fourth proportional to 33,566.64, 50,351.08 and 10,193 is: 15,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,566.64 : 50,351.08 = 10,193 : x
  2. Step 2: Convert to fraction form
    33,566.64/50,351.08 = 10,193/x
  3. Step 3: Cross multiply
    33,566.64x = 50,351.08 × 10,193
  4. Step 4: Simplify right side
    33,566.64x = 513,228,558.44
  5. Step 5: Solve for x
    x = 513,228,558.44/33,566.64
  6. Step 6: Final answer
    x = 15,289.84

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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.