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Finding the Fourth Proportional to 82,158.26, 123,237.64 and 19,828.76

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Solution

The fourth proportional to 82,158.26, 123,237.64 and 19,828.76 is: 29,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,158.26 : 123,237.64 = 19,828.76 : x
  2. Step 2: Convert to fraction form
    82,158.26/123,237.64 = 19,828.76/x
  3. Step 3: Cross multiply
    82,158.26x = 123,237.64 × 19,828.76
  4. Step 4: Simplify right side
    82,158.26x = 2,443,649,586.53
  5. Step 5: Solve for x
    x = 2,443,649,586.53/82,158.26
  6. Step 6: Final answer
    x = 29,743.20

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