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Finding the Fourth Proportional to 34,082.78, 51,104.12 and 14,350.64

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Solution

The fourth proportional to 34,082.78, 51,104.12 and 14,350.64 is: 21,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,082.78 : 51,104.12 = 14,350.64 : x
  2. Step 2: Convert to fraction form
    34,082.78/51,104.12 = 14,350.64/x
  3. Step 3: Cross multiply
    34,082.78x = 51,104.12 × 14,350.64
  4. Step 4: Simplify right side
    34,082.78x = 733,376,501.36
  5. Step 5: Solve for x
    x = 733,376,501.36/34,082.78
  6. Step 6: Final answer
    x = 21,517.51

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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.