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Finding the Fourth Proportional to 75,970.44, 113,996.46 and 31,627.80

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Solution

The fourth proportional to 75,970.44, 113,996.46 and 31,627.80 is: 47,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,970.44 : 113,996.46 = 31,627.80 : x
  2. Step 2: Convert to fraction form
    75,970.44/113,996.46 = 31,627.80/x
  3. Step 3: Cross multiply
    75,970.44x = 113,996.46 × 31,627.80
  4. Step 4: Simplify right side
    75,970.44x = 3,605,457,237.59
  5. Step 5: Solve for x
    x = 3,605,457,237.59/75,970.44
  6. Step 6: Final answer
    x = 47,458.69

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