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Finding the Fourth Proportional to 30,213.99, 41,692.46 and 27,984.87

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Solution

The fourth proportional to 30,213.99, 41,692.46 and 27,984.87 is: 38,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213.99 : 41,692.46 = 27,984.87 : x
  2. Step 2: Convert to fraction form
    30,213.99/41,692.46 = 27,984.87/x
  3. Step 3: Cross multiply
    30,213.99x = 41,692.46 × 27,984.87
  4. Step 4: Simplify right side
    30,213.99x = 1,166,757,933.16
  5. Step 5: Solve for x
    x = 1,166,757,933.16/30,213.99
  6. Step 6: Final answer
    x = 38,616.48

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Why These Related Problems?

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