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Finding the Fourth Proportional to 32,013.72, 44,181.37 and 17,676.31

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Solution

The fourth proportional to 32,013.72, 44,181.37 and 17,676.31 is: 24,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013.72 : 44,181.37 = 17,676.31 : x
  2. Step 2: Convert to fraction form
    32,013.72/44,181.37 = 17,676.31/x
  3. Step 3: Cross multiply
    32,013.72x = 44,181.37 × 17,676.31
  4. Step 4: Simplify right side
    32,013.72x = 780,963,592.34
  5. Step 5: Solve for x
    x = 780,963,592.34/32,013.72
  6. Step 6: Final answer
    x = 24,394.66

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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.