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Finding the Fourth Proportional to 50,478.39, 75,724.92 and 15,413.49

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Solution

The fourth proportional to 50,478.39, 75,724.92 and 15,413.49 is: 23,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,478.39 : 75,724.92 = 15,413.49 : x
  2. Step 2: Convert to fraction form
    50,478.39/75,724.92 = 15,413.49/x
  3. Step 3: Cross multiply
    50,478.39x = 75,724.92 × 15,413.49
  4. Step 4: Simplify right side
    50,478.39x = 1,167,185,297.17
  5. Step 5: Solve for x
    x = 1,167,185,297.17/50,478.39
  6. Step 6: Final answer
    x = 23,122.47

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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.