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Finding the Fourth Proportional to 50,380.72, 75,467.34 and 29,554

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Solution

The fourth proportional to 50,380.72, 75,467.34 and 29,554 is: 44,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,380.72 : 75,467.34 = 29,554 : x
  2. Step 2: Convert to fraction form
    50,380.72/75,467.34 = 29,554/x
  3. Step 3: Cross multiply
    50,380.72x = 75,467.34 × 29,554
  4. Step 4: Simplify right side
    50,380.72x = 2,230,361,766.36
  5. Step 5: Solve for x
    x = 2,230,361,766.36/50,380.72
  6. Step 6: Final answer
    x = 44,270.14

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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.