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Finding the Fourth Proportional to 33,647.40, 50,471.10 and 16,108.20

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Solution

The fourth proportional to 33,647.40, 50,471.10 and 16,108.20 is: 24,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.40 : 50,471.10 = 16,108.20 : x
  2. Step 2: Convert to fraction form
    33,647.40/50,471.10 = 16,108.20/x
  3. Step 3: Cross multiply
    33,647.40x = 50,471.10 × 16,108.20
  4. Step 4: Simplify right side
    33,647.40x = 812,998,573.02
  5. Step 5: Solve for x
    x = 812,998,573.02/33,647.40
  6. Step 6: Final answer
    x = 24,162.30

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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.