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Finding the Fourth Proportional to 48,413.92, 72,577.14 and 33,629.80

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Solution

The fourth proportional to 48,413.92, 72,577.14 and 33,629.80 is: 50,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,413.92 : 72,577.14 = 33,629.80 : x
  2. Step 2: Convert to fraction form
    48,413.92/72,577.14 = 33,629.80/x
  3. Step 3: Cross multiply
    48,413.92x = 72,577.14 × 33,629.80
  4. Step 4: Simplify right side
    48,413.92x = 2,440,754,702.77
  5. Step 5: Solve for x
    x = 2,440,754,702.77/48,413.92
  6. Step 6: Final answer
    x = 50,414.32

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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.