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Finding the Fourth Proportional to 33,530.38, 50,219 and 16,012.50

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Solution

The fourth proportional to 33,530.38, 50,219 and 16,012.50 is: 23,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,530.38 : 50,219 = 16,012.50 : x
  2. Step 2: Convert to fraction form
    33,530.38/50,219 = 16,012.50/x
  3. Step 3: Cross multiply
    33,530.38x = 50,219 × 16,012.50
  4. Step 4: Simplify right side
    33,530.38x = 804,131,737.50
  5. Step 5: Solve for x
    x = 804,131,737.50/33,530.38
  6. Step 6: Final answer
    x = 23,982.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.