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Finding the Fourth Proportional to 32,344.68, 48,481.20 and 13,619.28

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Solution

The fourth proportional to 32,344.68, 48,481.20 and 13,619.28 is: 20,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,344.68 : 48,481.20 = 13,619.28 : x
  2. Step 2: Convert to fraction form
    32,344.68/48,481.20 = 13,619.28/x
  3. Step 3: Cross multiply
    32,344.68x = 48,481.20 × 13,619.28
  4. Step 4: Simplify right side
    32,344.68x = 660,279,037.54
  5. Step 5: Solve for x
    x = 660,279,037.54/32,344.68
  6. Step 6: Final answer
    x = 20,413.84

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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.