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Finding the Fourth Proportional to 33,082.54, 49,626.54 and 10,596.50

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Solution

The fourth proportional to 33,082.54, 49,626.54 and 10,596.50 is: 15,895.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.54 : 49,626.54 = 10,596.50 : x
  2. Step 2: Convert to fraction form
    33,082.54/49,626.54 = 10,596.50/x
  3. Step 3: Cross multiply
    33,082.54x = 49,626.54 × 10,596.50
  4. Step 4: Simplify right side
    33,082.54x = 525,867,329.99
  5. Step 5: Solve for x
    x = 525,867,329.99/33,082.54
  6. Step 6: Final answer
    x = 15,895.62

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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.