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Finding the Fourth Proportional to 33,398, 50,100.32 and 12,343.56

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Solution

The fourth proportional to 33,398, 50,100.32 and 12,343.56 is: 18,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,398 : 50,100.32 = 12,343.56 : x
  2. Step 2: Convert to fraction form
    33,398/50,100.32 = 12,343.56/x
  3. Step 3: Cross multiply
    33,398x = 50,100.32 × 12,343.56
  4. Step 4: Simplify right side
    33,398x = 618,416,305.94
  5. Step 5: Solve for x
    x = 618,416,305.94/33,398
  6. Step 6: Final answer
    x = 18,516.57

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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.