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Finding the Fourth Proportional to 33,082.77, 49,631.45 and 18,313.23

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Solution

The fourth proportional to 33,082.77, 49,631.45 and 18,313.23 is: 27,473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.77 : 49,631.45 = 18,313.23 : x
  2. Step 2: Convert to fraction form
    33,082.77/49,631.45 = 18,313.23/x
  3. Step 3: Cross multiply
    33,082.77x = 49,631.45 × 18,313.23
  4. Step 4: Simplify right side
    33,082.77x = 908,912,067.52
  5. Step 5: Solve for x
    x = 908,912,067.52/33,082.77
  6. Step 6: Final answer
    x = 27,473.88

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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.