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Finding the Fourth Proportional to 31,676.42, 43,714.14 and 17,530.22

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Solution

The fourth proportional to 31,676.42, 43,714.14 and 17,530.22 is: 24,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,676.42 : 43,714.14 = 17,530.22 : x
  2. Step 2: Convert to fraction form
    31,676.42/43,714.14 = 17,530.22/x
  3. Step 3: Cross multiply
    31,676.42x = 43,714.14 × 17,530.22
  4. Step 4: Simplify right side
    31,676.42x = 766,318,491.31
  5. Step 5: Solve for x
    x = 766,318,491.31/31,676.42
  6. Step 6: Final answer
    x = 24,192.08

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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.