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Finding the Fourth Proportional to 33,082.57, 49,616.38 and 9,710.83

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Solution

The fourth proportional to 33,082.57, 49,616.38 and 9,710.83 is: 14,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.57 : 49,616.38 = 9,710.83 : x
  2. Step 2: Convert to fraction form
    33,082.57/49,616.38 = 9,710.83/x
  3. Step 3: Cross multiply
    33,082.57x = 49,616.38 × 9,710.83
  4. Step 4: Simplify right side
    33,082.57x = 481,816,231.40
  5. Step 5: Solve for x
    x = 481,816,231.40/33,082.57
  6. Step 6: Final answer
    x = 14,564.05

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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.