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Finding the Fourth Proportional to 75,413.73, 103,997.71 and 50,938.37

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Solution

The fourth proportional to 75,413.73, 103,997.71 and 50,938.37 is: 70,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,413.73 : 103,997.71 = 50,938.37 : x
  2. Step 2: Convert to fraction form
    75,413.73/103,997.71 = 50,938.37/x
  3. Step 3: Cross multiply
    75,413.73x = 103,997.71 × 50,938.37
  4. Step 4: Simplify right side
    75,413.73x = 5,297,473,056.45
  5. Step 5: Solve for x
    x = 5,297,473,056.45/75,413.73
  6. Step 6: Final answer
    x = 70,245.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.