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Finding the Fourth Proportional to 78,171.40, 117,314.70 and 31,457.80

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Solution

The fourth proportional to 78,171.40, 117,314.70 and 31,457.80 is: 47,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,171.40 : 117,314.70 = 31,457.80 : x
  2. Step 2: Convert to fraction form
    78,171.40/117,314.70 = 31,457.80/x
  3. Step 3: Cross multiply
    78,171.40x = 117,314.70 × 31,457.80
  4. Step 4: Simplify right side
    78,171.40x = 3,690,462,369.66
  5. Step 5: Solve for x
    x = 3,690,462,369.66/78,171.40
  6. Step 6: Final answer
    x = 47,209.88

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