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Finding the Fourth Proportional to 75,949.98, 113,924.54 and 30,971.16

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Solution

The fourth proportional to 75,949.98, 113,924.54 and 30,971.16 is: 46,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,949.98 : 113,924.54 = 30,971.16 : x
  2. Step 2: Convert to fraction form
    75,949.98/113,924.54 = 30,971.16/x
  3. Step 3: Cross multiply
    75,949.98x = 113,924.54 × 30,971.16
  4. Step 4: Simplify right side
    75,949.98x = 3,528,375,001.41
  5. Step 5: Solve for x
    x = 3,528,375,001.41/75,949.98
  6. Step 6: Final answer
    x = 46,456.56

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