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Finding the Fourth Proportional to 76,538.22, 114,807.07 and 20,378.33

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Solution

The fourth proportional to 76,538.22, 114,807.07 and 20,378.33 is: 30,567.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,538.22 : 114,807.07 = 20,378.33 : x
  2. Step 2: Convert to fraction form
    76,538.22/114,807.07 = 20,378.33/x
  3. Step 3: Cross multiply
    76,538.22x = 114,807.07 × 20,378.33
  4. Step 4: Simplify right side
    76,538.22x = 2,339,576,886.55
  5. Step 5: Solve for x
    x = 2,339,576,886.55/76,538.22
  6. Step 6: Final answer
    x = 30,567.43

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