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Finding the Fourth Proportional to 76,002.57, 113,942.34 and 31,662.63

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Solution

The fourth proportional to 76,002.57, 113,942.34 and 31,662.63 is: 47,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,002.57 : 113,942.34 = 31,662.63 : x
  2. Step 2: Convert to fraction form
    76,002.57/113,942.34 = 31,662.63/x
  3. Step 3: Cross multiply
    76,002.57x = 113,942.34 × 31,662.63
  4. Step 4: Simplify right side
    76,002.57x = 3,607,714,152.75
  5. Step 5: Solve for x
    x = 3,607,714,152.75/76,002.57
  6. Step 6: Final answer
    x = 47,468.32

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