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Finding the Fourth Proportional to 33,884.76, 50,844.48 and 16,135.50

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Solution

The fourth proportional to 33,884.76, 50,844.48 and 16,135.50 is: 24,211.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,884.76 : 50,844.48 = 16,135.50 : x
  2. Step 2: Convert to fraction form
    33,884.76/50,844.48 = 16,135.50/x
  3. Step 3: Cross multiply
    33,884.76x = 50,844.48 × 16,135.50
  4. Step 4: Simplify right side
    33,884.76x = 820,401,107.04
  5. Step 5: Solve for x
    x = 820,401,107.04/33,884.76
  6. Step 6: Final answer
    x = 24,211.51

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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.