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Finding the Fourth Proportional to 31,676.49, 43,714.13 and 17,337.60

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Solution

The fourth proportional to 31,676.49, 43,714.13 and 17,337.60 is: 23,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,676.49 : 43,714.13 = 17,337.60 : x
  2. Step 2: Convert to fraction form
    31,676.49/43,714.13 = 17,337.60/x
  3. Step 3: Cross multiply
    31,676.49x = 43,714.13 × 17,337.60
  4. Step 4: Simplify right side
    31,676.49x = 757,898,013.60
  5. Step 5: Solve for x
    x = 757,898,013.60/31,676.49
  6. Step 6: Final answer
    x = 23,926.20

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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.