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Finding the Fourth Proportional to 82,912.12, 114,419.11 and 47,104.10

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Solution

The fourth proportional to 82,912.12, 114,419.11 and 47,104.10 is: 65,003.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.12 : 114,419.11 = 47,104.10 : x
  2. Step 2: Convert to fraction form
    82,912.12/114,419.11 = 47,104.10/x
  3. Step 3: Cross multiply
    82,912.12x = 114,419.11 × 47,104.10
  4. Step 4: Simplify right side
    82,912.12x = 5,389,608,951.13
  5. Step 5: Solve for x
    x = 5,389,608,951.13/82,912.12
  6. Step 6: Final answer
    x = 65,003.87

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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.