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Finding the Fourth Proportional to 31,049.94, 42,847.56 and 16,902.48

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Solution

The fourth proportional to 31,049.94, 42,847.56 and 16,902.48 is: 23,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.94 : 42,847.56 = 16,902.48 : x
  2. Step 2: Convert to fraction form
    31,049.94/42,847.56 = 16,902.48/x
  3. Step 3: Cross multiply
    31,049.94x = 42,847.56 × 16,902.48
  4. Step 4: Simplify right side
    31,049.94x = 724,230,025.95
  5. Step 5: Solve for x
    x = 724,230,025.95/31,049.94
  6. Step 6: Final answer
    x = 23,324.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.