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Finding the Fourth Proportional to 31,832.85, 47,754.30 and 10,478.88

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Solution

The fourth proportional to 31,832.85, 47,754.30 and 10,478.88 is: 15,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832.85 : 47,754.30 = 10,478.88 : x
  2. Step 2: Convert to fraction form
    31,832.85/47,754.30 = 10,478.88/x
  3. Step 3: Cross multiply
    31,832.85x = 47,754.30 × 10,478.88
  4. Step 4: Simplify right side
    31,832.85x = 500,411,579.18
  5. Step 5: Solve for x
    x = 500,411,579.18/31,832.85
  6. Step 6: Final answer
    x = 15,719.97

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