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Finding the Fourth Proportional to 52,884.32, 72,982.56 and 31,659.44

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Solution

The fourth proportional to 52,884.32, 72,982.56 and 31,659.44 is: 43,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,884.32 : 72,982.56 = 31,659.44 : x
  2. Step 2: Convert to fraction form
    52,884.32/72,982.56 = 31,659.44/x
  3. Step 3: Cross multiply
    52,884.32x = 72,982.56 × 31,659.44
  4. Step 4: Simplify right side
    52,884.32x = 2,310,586,979.37
  5. Step 5: Solve for x
    x = 2,310,586,979.37/52,884.32
  6. Step 6: Final answer
    x = 43,691.34

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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.