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Finding the Fourth Proportional to 32,008.64, 44,171.96 and 17,861.49

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Solution

The fourth proportional to 32,008.64, 44,171.96 and 17,861.49 is: 24,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,008.64 : 44,171.96 = 17,861.49 : x
  2. Step 2: Convert to fraction form
    32,008.64/44,171.96 = 17,861.49/x
  3. Step 3: Cross multiply
    32,008.64x = 44,171.96 × 17,861.49
  4. Step 4: Simplify right side
    32,008.64x = 788,976,932.51
  5. Step 5: Solve for x
    x = 788,976,932.51/32,008.64
  6. Step 6: Final answer
    x = 24,648.88

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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.