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Finding the Fourth Proportional to 82,534.56, 123,804.24 and 20,205

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Solution

The fourth proportional to 82,534.56, 123,804.24 and 20,205 is: 30,308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,534.56 : 123,804.24 = 20,205 : x
  2. Step 2: Convert to fraction form
    82,534.56/123,804.24 = 20,205/x
  3. Step 3: Cross multiply
    82,534.56x = 123,804.24 × 20,205
  4. Step 4: Simplify right side
    82,534.56x = 2,501,464,669.20
  5. Step 5: Solve for x
    x = 2,501,464,669.20/82,534.56
  6. Step 6: Final answer
    x = 30,308.09

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