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Finding the Fourth Proportional to 106,748.94, 160,146.28 and 31,874.98

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Solution

The fourth proportional to 106,748.94, 160,146.28 and 31,874.98 is: 47,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,748.94 : 160,146.28 = 31,874.98 : x
  2. Step 2: Convert to fraction form
    106,748.94/160,146.28 = 31,874.98/x
  3. Step 3: Cross multiply
    106,748.94x = 160,146.28 × 31,874.98
  4. Step 4: Simplify right side
    106,748.94x = 5,104,659,472.07
  5. Step 5: Solve for x
    x = 5,104,659,472.07/106,748.94
  6. Step 6: Final answer
    x = 47,819.30

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