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Finding the Fourth Proportional to 75,495.84, 113,287.44 and 31,114.32

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Solution

The fourth proportional to 75,495.84, 113,287.44 and 31,114.32 is: 46,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,495.84 : 113,287.44 = 31,114.32 : x
  2. Step 2: Convert to fraction form
    75,495.84/113,287.44 = 31,114.32/x
  3. Step 3: Cross multiply
    75,495.84x = 113,287.44 × 31,114.32
  4. Step 4: Simplify right side
    75,495.84x = 3,524,861,660.14
  5. Step 5: Solve for x
    x = 3,524,861,660.14/75,495.84
  6. Step 6: Final answer
    x = 46,689.48

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