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Finding the Fourth Proportional to 33,099.40, 49,635.90 and 10,906.60

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Solution

The fourth proportional to 33,099.40, 49,635.90 and 10,906.60 is: 16,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,099.40 : 49,635.90 = 10,906.60 : x
  2. Step 2: Convert to fraction form
    33,099.40/49,635.90 = 10,906.60/x
  3. Step 3: Cross multiply
    33,099.40x = 49,635.90 × 10,906.60
  4. Step 4: Simplify right side
    33,099.40x = 541,358,906.94
  5. Step 5: Solve for x
    x = 541,358,906.94/33,099.40
  6. Step 6: Final answer
    x = 16,355.55

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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.