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Finding the Fourth Proportional to 33,195.90, 49,792.50 and 8,236.02

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Solution

The fourth proportional to 33,195.90, 49,792.50 and 8,236.02 is: 12,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,195.90 : 49,792.50 = 8,236.02 : x
  2. Step 2: Convert to fraction form
    33,195.90/49,792.50 = 8,236.02/x
  3. Step 3: Cross multiply
    33,195.90x = 49,792.50 × 8,236.02
  4. Step 4: Simplify right side
    33,195.90x = 410,092,025.85
  5. Step 5: Solve for x
    x = 410,092,025.85/33,195.90
  6. Step 6: Final answer
    x = 12,353.70

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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.