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Finding the Fourth Proportional to 106,741.76, 160,106.88 and 32,864

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Solution

The fourth proportional to 106,741.76, 160,106.88 and 32,864 is: 49,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,741.76 : 160,106.88 = 32,864 : x
  2. Step 2: Convert to fraction form
    106,741.76/160,106.88 = 32,864/x
  3. Step 3: Cross multiply
    106,741.76x = 160,106.88 × 32,864
  4. Step 4: Simplify right side
    106,741.76x = 5,261,752,504.32
  5. Step 5: Solve for x
    x = 5,261,752,504.32/106,741.76
  6. Step 6: Final answer
    x = 49,294.23

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