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Finding the Fourth Proportional to 81,815.68, 122,705.16 and 31,878.64

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Solution

The fourth proportional to 81,815.68, 122,705.16 and 31,878.64 is: 47,810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,815.68 : 122,705.16 = 31,878.64 : x
  2. Step 2: Convert to fraction form
    81,815.68/122,705.16 = 31,878.64/x
  3. Step 3: Cross multiply
    81,815.68x = 122,705.16 × 31,878.64
  4. Step 4: Simplify right side
    81,815.68x = 3,911,673,621.78
  5. Step 5: Solve for x
    x = 3,911,673,621.78/81,815.68
  6. Step 6: Final answer
    x = 47,810.81

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