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Finding the Fourth Proportional to 32,413.40, 48,620.10 and 30,226.40

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Solution

The fourth proportional to 32,413.40, 48,620.10 and 30,226.40 is: 45,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.40 : 48,620.10 = 30,226.40 : x
  2. Step 2: Convert to fraction form
    32,413.40/48,620.10 = 30,226.40/x
  3. Step 3: Cross multiply
    32,413.40x = 48,620.10 × 30,226.40
  4. Step 4: Simplify right side
    32,413.40x = 1,469,610,590.64
  5. Step 5: Solve for x
    x = 1,469,610,590.64/32,413.40
  6. Step 6: Final answer
    x = 45,339.60

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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.