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Finding the Fourth Proportional to 95,213.57, 131,380.89 and 52,772

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Solution

The fourth proportional to 95,213.57, 131,380.89 and 52,772 is: 72,817.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,213.57 : 131,380.89 = 52,772 : x
  2. Step 2: Convert to fraction form
    95,213.57/131,380.89 = 52,772/x
  3. Step 3: Cross multiply
    95,213.57x = 131,380.89 × 52,772
  4. Step 4: Simplify right side
    95,213.57x = 6,933,232,327.08
  5. Step 5: Solve for x
    x = 6,933,232,327.08/95,213.57
  6. Step 6: Final answer
    x = 72,817.69

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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.