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Finding the Fourth Proportional to 69,692.70, 96,184.17 and 41,398.50

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Solution

The fourth proportional to 69,692.70, 96,184.17 and 41,398.50 is: 57,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,692.70 : 96,184.17 = 41,398.50 : x
  2. Step 2: Convert to fraction form
    69,692.70/96,184.17 = 41,398.50/x
  3. Step 3: Cross multiply
    69,692.70x = 96,184.17 × 41,398.50
  4. Step 4: Simplify right side
    69,692.70x = 3,981,880,361.75
  5. Step 5: Solve for x
    x = 3,981,880,361.75/69,692.70
  6. Step 6: Final answer
    x = 57,134.83

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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.