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Finding the Fourth Proportional to 75,937.88, 113,864.16 and 31,534.76

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Solution

The fourth proportional to 75,937.88, 113,864.16 and 31,534.76 is: 47,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,937.88 : 113,864.16 = 31,534.76 : x
  2. Step 2: Convert to fraction form
    75,937.88/113,864.16 = 31,534.76/x
  3. Step 3: Cross multiply
    75,937.88x = 113,864.16 × 31,534.76
  4. Step 4: Simplify right side
    75,937.88x = 3,590,678,958.20
  5. Step 5: Solve for x
    x = 3,590,678,958.20/75,937.88
  6. Step 6: Final answer
    x = 47,284.42

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