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Finding the Fourth Proportional to 31,858.32, 43,944.12 and 20,542.32

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Solution

The fourth proportional to 31,858.32, 43,944.12 and 20,542.32 is: 28,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,858.32 : 43,944.12 = 20,542.32 : x
  2. Step 2: Convert to fraction form
    31,858.32/43,944.12 = 20,542.32/x
  3. Step 3: Cross multiply
    31,858.32x = 43,944.12 × 20,542.32
  4. Step 4: Simplify right side
    31,858.32x = 902,714,175.16
  5. Step 5: Solve for x
    x = 902,714,175.16/31,858.32
  6. Step 6: Final answer
    x = 28,335.27

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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.