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Finding the Fourth Proportional to 37,469.82, 56,204.72 and 11,193

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Solution

The fourth proportional to 37,469.82, 56,204.72 and 11,193 is: 16,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,469.82 : 56,204.72 = 11,193 : x
  2. Step 2: Convert to fraction form
    37,469.82/56,204.72 = 11,193/x
  3. Step 3: Cross multiply
    37,469.82x = 56,204.72 × 11,193
  4. Step 4: Simplify right side
    37,469.82x = 629,099,430.96
  5. Step 5: Solve for x
    x = 629,099,430.96/37,469.82
  6. Step 6: Final answer
    x = 16,789.50

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Why These Related Problems?

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