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Finding the Fourth Proportional to 109,923.82, 164,892.11 and 31,031.44

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Solution

The fourth proportional to 109,923.82, 164,892.11 and 31,031.44 is: 46,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,923.82 : 164,892.11 = 31,031.44 : x
  2. Step 2: Convert to fraction form
    109,923.82/164,892.11 = 31,031.44/x
  3. Step 3: Cross multiply
    109,923.82x = 164,892.11 × 31,031.44
  4. Step 4: Simplify right side
    109,923.82x = 5,116,839,050.55
  5. Step 5: Solve for x
    x = 5,116,839,050.55/109,923.82
  6. Step 6: Final answer
    x = 46,548.96

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