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Finding the Fourth Proportional to 33,195, 49,792.60 and 8,571

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Solution

The fourth proportional to 33,195, 49,792.60 and 8,571 is: 12,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,195 : 49,792.60 = 8,571 : x
  2. Step 2: Convert to fraction form
    33,195/49,792.60 = 8,571/x
  3. Step 3: Cross multiply
    33,195x = 49,792.60 × 8,571
  4. Step 4: Simplify right side
    33,195x = 426,772,374.60
  5. Step 5: Solve for x
    x = 426,772,374.60/33,195
  6. Step 6: Final answer
    x = 12,856.53

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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.