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Finding the Fourth Proportional to 50,413.73, 75,583.49 and 17,124.84

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Solution

The fourth proportional to 50,413.73, 75,583.49 and 17,124.84 is: 25,674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,413.73 : 75,583.49 = 17,124.84 : x
  2. Step 2: Convert to fraction form
    50,413.73/75,583.49 = 17,124.84/x
  3. Step 3: Cross multiply
    50,413.73x = 75,583.49 × 17,124.84
  4. Step 4: Simplify right side
    50,413.73x = 1,294,355,087.27
  5. Step 5: Solve for x
    x = 1,294,355,087.27/50,413.73
  6. Step 6: Final answer
    x = 25,674.66

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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.