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Finding the Fourth Proportional to 50,836.44, 76,249.80 and 31,104.84

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Solution

The fourth proportional to 50,836.44, 76,249.80 and 31,104.84 is: 46,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,836.44 : 76,249.80 = 31,104.84 : x
  2. Step 2: Convert to fraction form
    50,836.44/76,249.80 = 31,104.84/x
  3. Step 3: Cross multiply
    50,836.44x = 76,249.80 × 31,104.84
  4. Step 4: Simplify right side
    50,836.44x = 2,371,737,829.03
  5. Step 5: Solve for x
    x = 2,371,737,829.03/50,836.44
  6. Step 6: Final answer
    x = 46,654.29

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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.