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Finding the Fourth Proportional to 50,771.58, 76,156.83 and 19,584.96

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Solution

The fourth proportional to 50,771.58, 76,156.83 and 19,584.96 is: 29,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,771.58 : 76,156.83 = 19,584.96 : x
  2. Step 2: Convert to fraction form
    50,771.58/76,156.83 = 19,584.96/x
  3. Step 3: Cross multiply
    50,771.58x = 76,156.83 × 19,584.96
  4. Step 4: Simplify right side
    50,771.58x = 1,491,528,469.28
  5. Step 5: Solve for x
    x = 1,491,528,469.28/50,771.58
  6. Step 6: Final answer
    x = 29,377.23

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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.