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Finding the Fourth Proportional to 82,912.26, 114,419.31 and 47,104.24

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Solution

The fourth proportional to 82,912.26, 114,419.31 and 47,104.24 is: 65,004.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.26 : 114,419.31 = 47,104.24 : x
  2. Step 2: Convert to fraction form
    82,912.26/114,419.31 = 47,104.24/x
  3. Step 3: Cross multiply
    82,912.26x = 114,419.31 × 47,104.24
  4. Step 4: Simplify right side
    82,912.26x = 5,389,634,296.06
  5. Step 5: Solve for x
    x = 5,389,634,296.06/82,912.26
  6. Step 6: Final answer
    x = 65,004.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.