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Finding the Fourth Proportional to 35,546.49, 49,054.29 and 19,413.96

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Solution

The fourth proportional to 35,546.49, 49,054.29 and 19,413.96 is: 26,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,546.49 : 49,054.29 = 19,413.96 : x
  2. Step 2: Convert to fraction form
    35,546.49/49,054.29 = 19,413.96/x
  3. Step 3: Cross multiply
    35,546.49x = 49,054.29 × 19,413.96
  4. Step 4: Simplify right side
    35,546.49x = 952,338,023.89
  5. Step 5: Solve for x
    x = 952,338,023.89/35,546.49
  6. Step 6: Final answer
    x = 26,791.34

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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.