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Finding the Fourth Proportional to 31,676.31, 43,714.22 and 17,530.47

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Solution

The fourth proportional to 31,676.31, 43,714.22 and 17,530.47 is: 24,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,676.31 : 43,714.22 = 17,530.47 : x
  2. Step 2: Convert to fraction form
    31,676.31/43,714.22 = 17,530.47/x
  3. Step 3: Cross multiply
    31,676.31x = 43,714.22 × 17,530.47
  4. Step 4: Simplify right side
    31,676.31x = 766,330,734.63
  5. Step 5: Solve for x
    x = 766,330,734.63/31,676.31
  6. Step 6: Final answer
    x = 24,192.55

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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.