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Finding the Fourth Proportional to 85,414.10, 117,869 and 47,687.54

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Solution

The fourth proportional to 85,414.10, 117,869 and 47,687.54 is: 65,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,414.10 : 117,869 = 47,687.54 : x
  2. Step 2: Convert to fraction form
    85,414.10/117,869 = 47,687.54/x
  3. Step 3: Cross multiply
    85,414.10x = 117,869 × 47,687.54
  4. Step 4: Simplify right side
    85,414.10x = 5,620,882,652.26
  5. Step 5: Solve for x
    x = 5,620,882,652.26/85,414.10
  6. Step 6: Final answer
    x = 65,807.43

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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.