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Finding the Fourth Proportional to 53,198.53, 73,413.17 and 29,324.69

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Solution

The fourth proportional to 53,198.53, 73,413.17 and 29,324.69 is: 40,467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,198.53 : 73,413.17 = 29,324.69 : x
  2. Step 2: Convert to fraction form
    53,198.53/73,413.17 = 29,324.69/x
  3. Step 3: Cross multiply
    53,198.53x = 73,413.17 × 29,324.69
  4. Step 4: Simplify right side
    53,198.53x = 2,152,817,938.48
  5. Step 5: Solve for x
    x = 2,152,817,938.48/53,198.53
  6. Step 6: Final answer
    x = 40,467.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.