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Finding the Fourth Proportional to 120,967.16, 181,469.84 and 32,227.80

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Solution

The fourth proportional to 120,967.16, 181,469.84 and 32,227.80 is: 48,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,967.16 : 181,469.84 = 32,227.80 : x
  2. Step 2: Convert to fraction form
    120,967.16/181,469.84 = 32,227.80/x
  3. Step 3: Cross multiply
    120,967.16x = 181,469.84 × 32,227.80
  4. Step 4: Simplify right side
    120,967.16x = 5,848,373,709.55
  5. Step 5: Solve for x
    x = 5,848,373,709.55/120,967.16
  6. Step 6: Final answer
    x = 48,346.79

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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.