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Finding the Fourth Proportional to 33,411.87, 50,082.69 and 12,338.48

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Solution

The fourth proportional to 33,411.87, 50,082.69 and 12,338.48 is: 18,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,411.87 : 50,082.69 = 12,338.48 : x
  2. Step 2: Convert to fraction form
    33,411.87/50,082.69 = 12,338.48/x
  3. Step 3: Cross multiply
    33,411.87x = 50,082.69 × 12,338.48
  4. Step 4: Simplify right side
    33,411.87x = 617,944,018.50
  5. Step 5: Solve for x
    x = 617,944,018.50/33,411.87
  6. Step 6: Final answer
    x = 18,494.75

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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.