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Finding the Fourth Proportional to 106,749.56, 160,118.87 and 31,870.32

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Solution

The fourth proportional to 106,749.56, 160,118.87 and 31,870.32 is: 47,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,749.56 : 160,118.87 = 31,870.32 : x
  2. Step 2: Convert to fraction form
    106,749.56/160,118.87 = 31,870.32/x
  3. Step 3: Cross multiply
    106,749.56x = 160,118.87 × 31,870.32
  4. Step 4: Simplify right side
    106,749.56x = 5,103,039,465.59
  5. Step 5: Solve for x
    x = 5,103,039,465.59/106,749.56
  6. Step 6: Final answer
    x = 47,803.85

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