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Finding the Fourth Proportional to 34,452.99, 51,679.80 and 9,494.46

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Solution

The fourth proportional to 34,452.99, 51,679.80 and 9,494.46 is: 14,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,452.99 : 51,679.80 = 9,494.46 : x
  2. Step 2: Convert to fraction form
    34,452.99/51,679.80 = 9,494.46/x
  3. Step 3: Cross multiply
    34,452.99x = 51,679.80 × 9,494.46
  4. Step 4: Simplify right side
    34,452.99x = 490,671,793.91
  5. Step 5: Solve for x
    x = 490,671,793.91/34,452.99
  6. Step 6: Final answer
    x = 14,241.78

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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.