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Finding the Fourth Proportional to 31,204.88, 46,811.72 and 10,138.20

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Solution

The fourth proportional to 31,204.88, 46,811.72 and 10,138.20 is: 15,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204.88 : 46,811.72 = 10,138.20 : x
  2. Step 2: Convert to fraction form
    31,204.88/46,811.72 = 10,138.20/x
  3. Step 3: Cross multiply
    31,204.88x = 46,811.72 × 10,138.20
  4. Step 4: Simplify right side
    31,204.88x = 474,586,579.70
  5. Step 5: Solve for x
    x = 474,586,579.70/31,204.88
  6. Step 6: Final answer
    x = 15,208.73

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