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Finding the Fourth Proportional to 33,983.40, 50,983.20 and 16,438.80

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Solution

The fourth proportional to 33,983.40, 50,983.20 and 16,438.80 is: 24,662.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,983.40 : 50,983.20 = 16,438.80 : x
  2. Step 2: Convert to fraction form
    33,983.40/50,983.20 = 16,438.80/x
  3. Step 3: Cross multiply
    33,983.40x = 50,983.20 × 16,438.80
  4. Step 4: Simplify right side
    33,983.40x = 838,102,628.16
  5. Step 5: Solve for x
    x = 838,102,628.16/33,983.40
  6. Step 6: Final answer
    x = 24,662.12

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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.