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Finding the Fourth Proportional to 33,792.96, 50,686.20 and 10,413.12

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Solution

The fourth proportional to 33,792.96, 50,686.20 and 10,413.12 is: 15,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,792.96 : 50,686.20 = 10,413.12 : x
  2. Step 2: Convert to fraction form
    33,792.96/50,686.20 = 10,413.12/x
  3. Step 3: Cross multiply
    33,792.96x = 50,686.20 × 10,413.12
  4. Step 4: Simplify right side
    33,792.96x = 527,801,482.94
  5. Step 5: Solve for x
    x = 527,801,482.94/33,792.96
  6. Step 6: Final answer
    x = 15,618.68

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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.