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Finding the Fourth Proportional to 47,692.62, 71,551.40 and 27,682.87

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Solution

The fourth proportional to 47,692.62, 71,551.40 and 27,682.87 is: 41,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,692.62 : 71,551.40 = 27,682.87 : x
  2. Step 2: Convert to fraction form
    47,692.62/71,551.40 = 27,682.87/x
  3. Step 3: Cross multiply
    47,692.62x = 71,551.40 × 27,682.87
  4. Step 4: Simplify right side
    47,692.62x = 1,980,748,104.52
  5. Step 5: Solve for x
    x = 1,980,748,104.52/47,692.62
  6. Step 6: Final answer
    x = 41,531.54

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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.