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Finding the Fourth Proportional to 52,109.49, 78,268.86 and 31,090.53

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Solution

The fourth proportional to 52,109.49, 78,268.86 and 31,090.53 is: 46,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,109.49 : 78,268.86 = 31,090.53 : x
  2. Step 2: Convert to fraction form
    52,109.49/78,268.86 = 31,090.53/x
  3. Step 3: Cross multiply
    52,109.49x = 78,268.86 × 31,090.53
  4. Step 4: Simplify right side
    52,109.49x = 2,433,420,339.90
  5. Step 5: Solve for x
    x = 2,433,420,339.90/52,109.49
  6. Step 6: Final answer
    x = 46,698.22

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