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Finding the Fourth Proportional to 85,494.64, 117,982.92 and 47,769.52

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Solution

The fourth proportional to 85,494.64, 117,982.92 and 47,769.52 is: 65,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,494.64 : 117,982.92 = 47,769.52 : x
  2. Step 2: Convert to fraction form
    85,494.64/117,982.92 = 47,769.52/x
  3. Step 3: Cross multiply
    85,494.64x = 117,982.92 × 47,769.52
  4. Step 4: Simplify right side
    85,494.64x = 5,635,987,456.60
  5. Step 5: Solve for x
    x = 5,635,987,456.60/85,494.64
  6. Step 6: Final answer
    x = 65,922.11

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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.