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Finding the Fourth Proportional to 90,413.76, 135,629.64 and 33,502.92

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Solution

The fourth proportional to 90,413.76, 135,629.64 and 33,502.92 is: 50,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,413.76 : 135,629.64 = 33,502.92 : x
  2. Step 2: Convert to fraction form
    90,413.76/135,629.64 = 33,502.92/x
  3. Step 3: Cross multiply
    90,413.76x = 135,629.64 × 33,502.92
  4. Step 4: Simplify right side
    90,413.76x = 4,543,988,978.55
  5. Step 5: Solve for x
    x = 4,543,988,978.55/90,413.76
  6. Step 6: Final answer
    x = 50,257.71

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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.