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Finding the Fourth Proportional to 75,952.64, 113,938.05 and 31,609.37

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Solution

The fourth proportional to 75,952.64, 113,938.05 and 31,609.37 is: 47,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,952.64 : 113,938.05 = 31,609.37 : x
  2. Step 2: Convert to fraction form
    75,952.64/113,938.05 = 31,609.37/x
  3. Step 3: Cross multiply
    75,952.64x = 113,938.05 × 31,609.37
  4. Step 4: Simplify right side
    75,952.64x = 3,601,509,979.53
  5. Step 5: Solve for x
    x = 3,601,509,979.53/75,952.64
  6. Step 6: Final answer
    x = 47,417.84

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