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Finding the Fourth Proportional to 32,231.13, 48,346.89 and 8,857.77

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Solution

The fourth proportional to 32,231.13, 48,346.89 and 8,857.77 is: 13,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,231.13 : 48,346.89 = 8,857.77 : x
  2. Step 2: Convert to fraction form
    32,231.13/48,346.89 = 8,857.77/x
  3. Step 3: Cross multiply
    32,231.13x = 48,346.89 × 8,857.77
  4. Step 4: Simplify right side
    32,231.13x = 428,245,631.84
  5. Step 5: Solve for x
    x = 428,245,631.84/32,231.13
  6. Step 6: Final answer
    x = 13,286.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.