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Finding the Fourth Proportional to 106,811.52, 160,215.52 and 31,931.84

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Solution

The fourth proportional to 106,811.52, 160,215.52 and 31,931.84 is: 47,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,811.52 : 160,215.52 = 31,931.84 : x
  2. Step 2: Convert to fraction form
    106,811.52/160,215.52 = 31,931.84/x
  3. Step 3: Cross multiply
    106,811.52x = 160,215.52 × 31,931.84
  4. Step 4: Simplify right side
    106,811.52x = 5,115,976,350.16
  5. Step 5: Solve for x
    x = 5,115,976,350.16/106,811.52
  6. Step 6: Final answer
    x = 47,897.23

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