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Finding the Fourth Proportional to 106,766.46, 160,156.98 and 31,885.20

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Solution

The fourth proportional to 106,766.46, 160,156.98 and 31,885.20 is: 47,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,766.46 : 160,156.98 = 31,885.20 : x
  2. Step 2: Convert to fraction form
    106,766.46/160,156.98 = 31,885.20/x
  3. Step 3: Cross multiply
    106,766.46x = 160,156.98 × 31,885.20
  4. Step 4: Simplify right side
    106,766.46x = 5,106,637,338.70
  5. Step 5: Solve for x
    x = 5,106,637,338.70/106,766.46
  6. Step 6: Final answer
    x = 47,829.98

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