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Finding the Fourth Proportional to 102,099.64, 153,149.37 and 31,984.42

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Solution

The fourth proportional to 102,099.64, 153,149.37 and 31,984.42 is: 47,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,099.64 : 153,149.37 = 31,984.42 : x
  2. Step 2: Convert to fraction form
    102,099.64/153,149.37 = 31,984.42/x
  3. Step 3: Cross multiply
    102,099.64x = 153,149.37 × 31,984.42
  4. Step 4: Simplify right side
    102,099.64x = 4,898,393,772.82
  5. Step 5: Solve for x
    x = 4,898,393,772.82/102,099.64
  6. Step 6: Final answer
    x = 47,976.60

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