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Finding the Fourth Proportional to 32,413.20, 48,619.80 and 30,226.20

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Solution

The fourth proportional to 32,413.20, 48,619.80 and 30,226.20 is: 45,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.20 : 48,619.80 = 30,226.20 : x
  2. Step 2: Convert to fraction form
    32,413.20/48,619.80 = 30,226.20/x
  3. Step 3: Cross multiply
    32,413.20x = 48,619.80 × 30,226.20
  4. Step 4: Simplify right side
    32,413.20x = 1,469,591,798.76
  5. Step 5: Solve for x
    x = 1,469,591,798.76/32,413.20
  6. Step 6: Final answer
    x = 45,339.30

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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.