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Finding the Fourth Proportional to 75,988.78, 113,921.65 and 31,648.72

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Solution

The fourth proportional to 75,988.78, 113,921.65 and 31,648.72 is: 47,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,988.78 : 113,921.65 = 31,648.72 : x
  2. Step 2: Convert to fraction form
    75,988.78/113,921.65 = 31,648.72/x
  3. Step 3: Cross multiply
    75,988.78x = 113,921.65 × 31,648.72
  4. Step 4: Simplify right side
    75,988.78x = 3,605,474,193.12
  5. Step 5: Solve for x
    x = 3,605,474,193.12/75,988.78
  6. Step 6: Final answer
    x = 47,447.46

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