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Finding the Fourth Proportional to 109,661.56, 164,502.64 and 30,775.44

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Solution

The fourth proportional to 109,661.56, 164,502.64 and 30,775.44 is: 46,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,661.56 : 164,502.64 = 30,775.44 : x
  2. Step 2: Convert to fraction form
    109,661.56/164,502.64 = 30,775.44/x
  3. Step 3: Cross multiply
    109,661.56x = 164,502.64 × 30,775.44
  4. Step 4: Simplify right side
    109,661.56x = 5,062,641,127.16
  5. Step 5: Solve for x
    x = 5,062,641,127.16/109,661.56
  6. Step 6: Final answer
    x = 46,166.05

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