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Finding the Fourth Proportional to 50,942.68, 76,415.98 and 24,274.92

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Solution

The fourth proportional to 50,942.68, 76,415.98 and 24,274.92 is: 36,413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,942.68 : 76,415.98 = 24,274.92 : x
  2. Step 2: Convert to fraction form
    50,942.68/76,415.98 = 24,274.92/x
  3. Step 3: Cross multiply
    50,942.68x = 76,415.98 × 24,274.92
  4. Step 4: Simplify right side
    50,942.68x = 1,854,991,801.22
  5. Step 5: Solve for x
    x = 1,854,991,801.22/50,942.68
  6. Step 6: Final answer
    x = 36,413.31

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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.