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Finding the Fourth Proportional to 33,082.32, 49,631.63 and 16,450.23

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Solution

The fourth proportional to 33,082.32, 49,631.63 and 16,450.23 is: 24,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.32 : 49,631.63 = 16,450.23 : x
  2. Step 2: Convert to fraction form
    33,082.32/49,631.63 = 16,450.23/x
  3. Step 3: Cross multiply
    33,082.32x = 49,631.63 × 16,450.23
  4. Step 4: Simplify right side
    33,082.32x = 816,451,646.52
  5. Step 5: Solve for x
    x = 816,451,646.52/33,082.32
  6. Step 6: Final answer
    x = 24,679.40

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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.