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Finding the Fourth Proportional to 33,454.38, 50,184 and 10,082.64

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Solution

The fourth proportional to 33,454.38, 50,184 and 10,082.64 is: 15,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,454.38 : 50,184 = 10,082.64 : x
  2. Step 2: Convert to fraction form
    33,454.38/50,184 = 10,082.64/x
  3. Step 3: Cross multiply
    33,454.38x = 50,184 × 10,082.64
  4. Step 4: Simplify right side
    33,454.38x = 505,987,205.76
  5. Step 5: Solve for x
    x = 505,987,205.76/33,454.38
  6. Step 6: Final answer
    x = 15,124.69

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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.