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Finding the Fourth Proportional to 29,082.14, 43,626.24 and 8,022.18

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Solution

The fourth proportional to 29,082.14, 43,626.24 and 8,022.18 is: 12,034.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,082.14 : 43,626.24 = 8,022.18 : x
  2. Step 2: Convert to fraction form
    29,082.14/43,626.24 = 8,022.18/x
  3. Step 3: Cross multiply
    29,082.14x = 43,626.24 × 8,022.18
  4. Step 4: Simplify right side
    29,082.14x = 349,977,529.95
  5. Step 5: Solve for x
    x = 349,977,529.95/29,082.14
  6. Step 6: Final answer
    x = 12,034.11

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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.