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Finding the Fourth Proportional to 32,162.42, 44,405.82 and 20,081.31

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Solution

The fourth proportional to 32,162.42, 44,405.82 and 20,081.31 is: 27,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,162.42 : 44,405.82 = 20,081.31 : x
  2. Step 2: Convert to fraction form
    32,162.42/44,405.82 = 20,081.31/x
  3. Step 3: Cross multiply
    32,162.42x = 44,405.82 × 20,081.31
  4. Step 4: Simplify right side
    32,162.42x = 891,727,037.22
  5. Step 5: Solve for x
    x = 891,727,037.22/32,162.42
  6. Step 6: Final answer
    x = 27,725.75

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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.