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Finding the Fourth Proportional to 33,338.16, 50,029 and 12,278.42

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Solution

The fourth proportional to 33,338.16, 50,029 and 12,278.42 is: 18,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,338.16 : 50,029 = 12,278.42 : x
  2. Step 2: Convert to fraction form
    33,338.16/50,029 = 12,278.42/x
  3. Step 3: Cross multiply
    33,338.16x = 50,029 × 12,278.42
  4. Step 4: Simplify right side
    33,338.16x = 614,277,074.18
  5. Step 5: Solve for x
    x = 614,277,074.18/33,338.16
  6. Step 6: Final answer
    x = 18,425.64

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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.