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Finding the Fourth Proportional to 32,793.50, 49,190.43 and 8,169.50

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Solution

The fourth proportional to 32,793.50, 49,190.43 and 8,169.50 is: 12,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,793.50 : 49,190.43 = 8,169.50 : x
  2. Step 2: Convert to fraction form
    32,793.50/49,190.43 = 8,169.50/x
  3. Step 3: Cross multiply
    32,793.50x = 49,190.43 × 8,169.50
  4. Step 4: Simplify right side
    32,793.50x = 401,861,217.89
  5. Step 5: Solve for x
    x = 401,861,217.89/32,793.50
  6. Step 6: Final answer
    x = 12,254.29

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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.