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Finding the Fourth Proportional to 85,105.97, 117,443.94 and 47,380.22

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Solution

The fourth proportional to 85,105.97, 117,443.94 and 47,380.22 is: 65,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,105.97 : 117,443.94 = 47,380.22 : x
  2. Step 2: Convert to fraction form
    85,105.97/117,443.94 = 47,380.22/x
  3. Step 3: Cross multiply
    85,105.97x = 117,443.94 × 47,380.22
  4. Step 4: Simplify right side
    85,105.97x = 5,564,519,714.87
  5. Step 5: Solve for x
    x = 5,564,519,714.87/85,105.97
  6. Step 6: Final answer
    x = 65,383.42

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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.