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Finding the Fourth Proportional to 50,222.86, 75,280.82 and 23,871.94

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Solution

The fourth proportional to 50,222.86, 75,280.82 and 23,871.94 is: 35,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,222.86 : 75,280.82 = 23,871.94 : x
  2. Step 2: Convert to fraction form
    50,222.86/75,280.82 = 23,871.94/x
  3. Step 3: Cross multiply
    50,222.86x = 75,280.82 × 23,871.94
  4. Step 4: Simplify right side
    50,222.86x = 1,797,099,218.19
  5. Step 5: Solve for x
    x = 1,797,099,218.19/50,222.86
  6. Step 6: Final answer
    x = 35,782.49

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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.