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Finding the Fourth Proportional to 71,792.46, 107,692.74 and 21,874.32

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Solution

The fourth proportional to 71,792.46, 107,692.74 and 21,874.32 is: 32,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,792.46 : 107,692.74 = 21,874.32 : x
  2. Step 2: Convert to fraction form
    71,792.46/107,692.74 = 21,874.32/x
  3. Step 3: Cross multiply
    71,792.46x = 107,692.74 × 21,874.32
  4. Step 4: Simplify right side
    71,792.46x = 2,355,705,456.44
  5. Step 5: Solve for x
    x = 2,355,705,456.44/71,792.46
  6. Step 6: Final answer
    x = 32,812.71

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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.