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Finding the Fourth Proportional to 35,692.56, 53,469.72 and 27,467.28

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Solution

The fourth proportional to 35,692.56, 53,469.72 and 27,467.28 is: 41,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692.56 : 53,469.72 = 27,467.28 : x
  2. Step 2: Convert to fraction form
    35,692.56/53,469.72 = 27,467.28/x
  3. Step 3: Cross multiply
    35,692.56x = 53,469.72 × 27,467.28
  4. Step 4: Simplify right side
    35,692.56x = 1,468,667,770.76
  5. Step 5: Solve for x
    x = 1,468,667,770.76/35,692.56
  6. Step 6: Final answer
    x = 41,147.73

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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.