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Finding the Fourth Proportional to 32,006.67, 44,171.70 and 17,861.64

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Solution

The fourth proportional to 32,006.67, 44,171.70 and 17,861.64 is: 24,650.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.67 : 44,171.70 = 17,861.64 : x
  2. Step 2: Convert to fraction form
    32,006.67/44,171.70 = 17,861.64/x
  3. Step 3: Cross multiply
    32,006.67x = 44,171.70 × 17,861.64
  4. Step 4: Simplify right side
    32,006.67x = 788,979,003.59
  5. Step 5: Solve for x
    x = 788,979,003.59/32,006.67
  6. Step 6: Final answer
    x = 24,650.46

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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.