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Finding the Fourth Proportional to 71,786.16, 107,612.70 and 31,783.83

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Solution

The fourth proportional to 71,786.16, 107,612.70 and 31,783.83 is: 47,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,786.16 : 107,612.70 = 31,783.83 : x
  2. Step 2: Convert to fraction form
    71,786.16/107,612.70 = 31,783.83/x
  3. Step 3: Cross multiply
    71,786.16x = 107,612.70 × 31,783.83
  4. Step 4: Simplify right side
    71,786.16x = 3,420,343,239.90
  5. Step 5: Solve for x
    x = 3,420,343,239.90/71,786.16
  6. Step 6: Final answer
    x = 47,646.28

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