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Finding the Fourth Proportional to 35,815.78, 49,413.18 and 22,382.20

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Solution

The fourth proportional to 35,815.78, 49,413.18 and 22,382.20 is: 30,879.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,815.78 : 49,413.18 = 22,382.20 : x
  2. Step 2: Convert to fraction form
    35,815.78/49,413.18 = 22,382.20/x
  3. Step 3: Cross multiply
    35,815.78x = 49,413.18 × 22,382.20
  4. Step 4: Simplify right side
    35,815.78x = 1,105,975,677.40
  5. Step 5: Solve for x
    x = 1,105,975,677.40/35,815.78
  6. Step 6: Final answer
    x = 30,879.56

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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.