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Finding the Fourth Proportional to 33,082.75, 49,624.13 and 9,709.19

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Solution

The fourth proportional to 33,082.75, 49,624.13 and 9,709.19 is: 14,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.75 : 49,624.13 = 9,709.19 : x
  2. Step 2: Convert to fraction form
    33,082.75/49,624.13 = 9,709.19/x
  3. Step 3: Cross multiply
    33,082.75x = 49,624.13 × 9,709.19
  4. Step 4: Simplify right side
    33,082.75x = 481,810,106.75
  5. Step 5: Solve for x
    x = 481,810,106.75/33,082.75
  6. Step 6: Final answer
    x = 14,563.79

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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.