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Finding the Fourth Proportional to 38,245.66, 57,319.81 and 21,614.96

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Solution

The fourth proportional to 38,245.66, 57,319.81 and 21,614.96 is: 32,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245.66 : 57,319.81 = 21,614.96 : x
  2. Step 2: Convert to fraction form
    38,245.66/57,319.81 = 21,614.96/x
  3. Step 3: Cross multiply
    38,245.66x = 57,319.81 × 21,614.96
  4. Step 4: Simplify right side
    38,245.66x = 1,238,965,489.62
  5. Step 5: Solve for x
    x = 1,238,965,489.62/38,245.66
  6. Step 6: Final answer
    x = 32,394.93

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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.