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Finding the Fourth Proportional to 50,942.90, 76,413.99 and 27,716.98

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Solution

The fourth proportional to 50,942.90, 76,413.99 and 27,716.98 is: 41,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,942.90 : 76,413.99 = 27,716.98 : x
  2. Step 2: Convert to fraction form
    50,942.90/76,413.99 = 27,716.98/x
  3. Step 3: Cross multiply
    50,942.90x = 76,413.99 × 27,716.98
  4. Step 4: Simplify right side
    50,942.90x = 2,117,965,032.55
  5. Step 5: Solve for x
    x = 2,117,965,032.55/50,942.90
  6. Step 6: Final answer
    x = 41,575.27

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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.