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Finding the Fourth Proportional to 107,832.60, 161,773.20 and 32,956.20

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Solution

The fourth proportional to 107,832.60, 161,773.20 and 32,956.20 is: 49,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,832.60 : 161,773.20 = 32,956.20 : x
  2. Step 2: Convert to fraction form
    107,832.60/161,773.20 = 32,956.20/x
  3. Step 3: Cross multiply
    107,832.60x = 161,773.20 × 32,956.20
  4. Step 4: Simplify right side
    107,832.60x = 5,331,429,933.84
  5. Step 5: Solve for x
    x = 5,331,429,933.84/107,832.60
  6. Step 6: Final answer
    x = 49,441.73

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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.