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Finding the Fourth Proportional to 32,143.39, 48,222.73 and 13,413.02

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Solution

The fourth proportional to 32,143.39, 48,222.73 and 13,413.02 is: 20,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.39 : 48,222.73 = 13,413.02 : x
  2. Step 2: Convert to fraction form
    32,143.39/48,222.73 = 13,413.02/x
  3. Step 3: Cross multiply
    32,143.39x = 48,222.73 × 13,413.02
  4. Step 4: Simplify right side
    32,143.39x = 646,812,398.43
  5. Step 5: Solve for x
    x = 646,812,398.43/32,143.39
  6. Step 6: Final answer
    x = 20,122.72

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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.