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Finding the Fourth Proportional to 106,508.24, 159,777.72 and 32,642

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Solution

The fourth proportional to 106,508.24, 159,777.72 and 32,642 is: 48,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,508.24 : 159,777.72 = 32,642 : x
  2. Step 2: Convert to fraction form
    106,508.24/159,777.72 = 32,642/x
  3. Step 3: Cross multiply
    106,508.24x = 159,777.72 × 32,642
  4. Step 4: Simplify right side
    106,508.24x = 5,215,464,336.24
  5. Step 5: Solve for x
    x = 5,215,464,336.24/106,508.24
  6. Step 6: Final answer
    x = 48,967.71

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