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Finding the Fourth Proportional to 32,231.43, 48,346.07 and 13,255.40

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Solution

The fourth proportional to 32,231.43, 48,346.07 and 13,255.40 is: 19,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,231.43 : 48,346.07 = 13,255.40 : x
  2. Step 2: Convert to fraction form
    32,231.43/48,346.07 = 13,255.40/x
  3. Step 3: Cross multiply
    32,231.43x = 48,346.07 × 13,255.40
  4. Step 4: Simplify right side
    32,231.43x = 640,846,650.28
  5. Step 5: Solve for x
    x = 640,846,650.28/32,231.43
  6. Step 6: Final answer
    x = 19,882.66

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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.