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Finding the Fourth Proportional to 50,413.78, 75,631.92 and 15,356.14

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Solution

The fourth proportional to 50,413.78, 75,631.92 and 15,356.14 is: 23,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,413.78 : 75,631.92 = 15,356.14 : x
  2. Step 2: Convert to fraction form
    50,413.78/75,631.92 = 15,356.14/x
  3. Step 3: Cross multiply
    50,413.78x = 75,631.92 × 15,356.14
  4. Step 4: Simplify right side
    50,413.78x = 1,161,414,351.99
  5. Step 5: Solve for x
    x = 1,161,414,351.99/50,413.78
  6. Step 6: Final answer
    x = 23,037.64

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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.