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Finding the Fourth Proportional to 32,217.24, 48,324.80 and 13,241.22

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Solution

The fourth proportional to 32,217.24, 48,324.80 and 13,241.22 is: 19,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,217.24 : 48,324.80 = 13,241.22 : x
  2. Step 2: Convert to fraction form
    32,217.24/48,324.80 = 13,241.22/x
  3. Step 3: Cross multiply
    32,217.24x = 48,324.80 × 13,241.22
  4. Step 4: Simplify right side
    32,217.24x = 639,879,431.97
  5. Step 5: Solve for x
    x = 639,879,431.97/32,217.24
  6. Step 6: Final answer
    x = 19,861.40

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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.