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Finding the Fourth Proportional to 34,227.58, 51,311.05 and 13,446.30

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Solution

The fourth proportional to 34,227.58, 51,311.05 and 13,446.30 is: 20,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,227.58 : 51,311.05 = 13,446.30 : x
  2. Step 2: Convert to fraction form
    34,227.58/51,311.05 = 13,446.30/x
  3. Step 3: Cross multiply
    34,227.58x = 51,311.05 × 13,446.30
  4. Step 4: Simplify right side
    34,227.58x = 689,943,771.62
  5. Step 5: Solve for x
    x = 689,943,771.62/34,227.58
  6. Step 6: Final answer
    x = 20,157.54

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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.