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Finding the Fourth Proportional to 106,199.64, 159,325.38 and 32,327.64

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Solution

The fourth proportional to 106,199.64, 159,325.38 and 32,327.64 is: 48,499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,199.64 : 159,325.38 = 32,327.64 : x
  2. Step 2: Convert to fraction form
    106,199.64/159,325.38 = 32,327.64/x
  3. Step 3: Cross multiply
    106,199.64x = 159,325.38 × 32,327.64
  4. Step 4: Simplify right side
    106,199.64x = 5,150,613,527.50
  5. Step 5: Solve for x
    x = 5,150,613,527.50/106,199.64
  6. Step 6: Final answer
    x = 48,499.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.