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Finding the Fourth Proportional to 51,601.92, 77,413.82 and 16,566.18

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Solution

The fourth proportional to 51,601.92, 77,413.82 and 16,566.18 is: 24,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,601.92 : 77,413.82 = 16,566.18 : x
  2. Step 2: Convert to fraction form
    51,601.92/77,413.82 = 16,566.18/x
  3. Step 3: Cross multiply
    51,601.92x = 77,413.82 × 16,566.18
  4. Step 4: Simplify right side
    51,601.92x = 1,282,451,276.61
  5. Step 5: Solve for x
    x = 1,282,451,276.61/51,601.92
  6. Step 6: Final answer
    x = 24,852.78

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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.