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Finding the Fourth Proportional to 31,677.44, 43,714.19 and 17,530.31

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Solution

The fourth proportional to 31,677.44, 43,714.19 and 17,530.31 is: 24,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,677.44 : 43,714.19 = 17,530.31 : x
  2. Step 2: Convert to fraction form
    31,677.44/43,714.19 = 17,530.31/x
  3. Step 3: Cross multiply
    31,677.44x = 43,714.19 × 17,530.31
  4. Step 4: Simplify right side
    31,677.44x = 766,322,995.88
  5. Step 5: Solve for x
    x = 766,322,995.88/31,677.44
  6. Step 6: Final answer
    x = 24,191.45

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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.