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Finding the Fourth Proportional to 33,414, 50,082.12 and 13,668.63

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Solution

The fourth proportional to 33,414, 50,082.12 and 13,668.63 is: 20,487.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,414 : 50,082.12 = 13,668.63 : x
  2. Step 2: Convert to fraction form
    33,414/50,082.12 = 13,668.63/x
  3. Step 3: Cross multiply
    33,414x = 50,082.12 × 13,668.63
  4. Step 4: Simplify right side
    33,414x = 684,553,967.90
  5. Step 5: Solve for x
    x = 684,553,967.90/33,414
  6. Step 6: Final answer
    x = 20,487.04

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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.