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Finding the Fourth Proportional to 53,413.49, 80,138.73 and 20,143.10

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Solution

The fourth proportional to 53,413.49, 80,138.73 and 20,143.10 is: 30,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,413.49 : 80,138.73 = 20,143.10 : x
  2. Step 2: Convert to fraction form
    53,413.49/80,138.73 = 20,143.10/x
  3. Step 3: Cross multiply
    53,413.49x = 80,138.73 × 20,143.10
  4. Step 4: Simplify right side
    53,413.49x = 1,614,242,051.57
  5. Step 5: Solve for x
    x = 1,614,242,051.57/53,413.49
  6. Step 6: Final answer
    x = 30,221.62

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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.