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Finding the Fourth Proportional to 32,143.45, 48,222.83 and 13,413.08

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Solution

The fourth proportional to 32,143.45, 48,222.83 and 13,413.08 is: 20,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.45 : 48,222.83 = 13,413.08 : x
  2. Step 2: Convert to fraction form
    32,143.45/48,222.83 = 13,413.08/x
  3. Step 3: Cross multiply
    32,143.45x = 48,222.83 × 13,413.08
  4. Step 4: Simplify right side
    32,143.45x = 646,816,676.62
  5. Step 5: Solve for x
    x = 646,816,676.62/32,143.45
  6. Step 6: Final answer
    x = 20,122.81

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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.