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Finding the Fourth Proportional to 31,956.12, 47,930.94 and 11,178

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Solution

The fourth proportional to 31,956.12, 47,930.94 and 11,178 is: 16,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,956.12 : 47,930.94 = 11,178 : x
  2. Step 2: Convert to fraction form
    31,956.12/47,930.94 = 11,178/x
  3. Step 3: Cross multiply
    31,956.12x = 47,930.94 × 11,178
  4. Step 4: Simplify right side
    31,956.12x = 535,772,047.32
  5. Step 5: Solve for x
    x = 535,772,047.32/31,956.12
  6. Step 6: Final answer
    x = 16,765.87

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