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Finding the Fourth Proportional to 33,906.39, 50,861.69 and 8,946.46

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Solution

The fourth proportional to 33,906.39, 50,861.69 and 8,946.46 is: 13,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,906.39 : 50,861.69 = 8,946.46 : x
  2. Step 2: Convert to fraction form
    33,906.39/50,861.69 = 8,946.46/x
  3. Step 3: Cross multiply
    33,906.39x = 50,861.69 × 8,946.46
  4. Step 4: Simplify right side
    33,906.39x = 455,031,970.33
  5. Step 5: Solve for x
    x = 455,031,970.33/33,906.39
  6. Step 6: Final answer
    x = 13,420.24

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