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Finding the Fourth Proportional to 50,976.80, 76,469.92 and 19,814.40

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Solution

The fourth proportional to 50,976.80, 76,469.92 and 19,814.40 is: 29,723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,976.80 : 76,469.92 = 19,814.40 : x
  2. Step 2: Convert to fraction form
    50,976.80/76,469.92 = 19,814.40/x
  3. Step 3: Cross multiply
    50,976.80x = 76,469.92 × 19,814.40
  4. Step 4: Simplify right side
    50,976.80x = 1,515,205,582.85
  5. Step 5: Solve for x
    x = 1,515,205,582.85/50,976.80
  6. Step 6: Final answer
    x = 29,723.43

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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.