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Finding the Fourth Proportional to 77,712.64, 116,540.40 and 27,779.20

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Solution

The fourth proportional to 77,712.64, 116,540.40 and 27,779.20 is: 41,658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712.64 : 116,540.40 = 27,779.20 : x
  2. Step 2: Convert to fraction form
    77,712.64/116,540.40 = 27,779.20/x
  3. Step 3: Cross multiply
    77,712.64x = 116,540.40 × 27,779.20
  4. Step 4: Simplify right side
    77,712.64x = 3,237,399,079.68
  5. Step 5: Solve for x
    x = 3,237,399,079.68/77,712.64
  6. Step 6: Final answer
    x = 41,658.59

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