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Finding the Fourth Proportional to 34,200.50, 51,297.39 and 16,682.42

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Solution

The fourth proportional to 34,200.50, 51,297.39 and 16,682.42 is: 25,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,200.50 : 51,297.39 = 16,682.42 : x
  2. Step 2: Convert to fraction form
    34,200.50/51,297.39 = 16,682.42/x
  3. Step 3: Cross multiply
    34,200.50x = 51,297.39 × 16,682.42
  4. Step 4: Simplify right side
    34,200.50x = 855,764,604.88
  5. Step 5: Solve for x
    x = 855,764,604.88/34,200.50
  6. Step 6: Final answer
    x = 25,021.99

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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.