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Finding the Fourth Proportional to 106,758.75, 160,165.98 and 31,878.90

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Solution

The fourth proportional to 106,758.75, 160,165.98 and 31,878.90 is: 47,826.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,758.75 : 160,165.98 = 31,878.90 : x
  2. Step 2: Convert to fraction form
    106,758.75/160,165.98 = 31,878.90/x
  3. Step 3: Cross multiply
    106,758.75x = 160,165.98 × 31,878.90
  4. Step 4: Simplify right side
    106,758.75x = 5,105,915,259.82
  5. Step 5: Solve for x
    x = 5,105,915,259.82/106,758.75
  6. Step 6: Final answer
    x = 47,826.67

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