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Finding the Fourth Proportional to 30,995.86, 42,761.09 and 18,413.78

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Solution

The fourth proportional to 30,995.86, 42,761.09 and 18,413.78 is: 25,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,995.86 : 42,761.09 = 18,413.78 : x
  2. Step 2: Convert to fraction form
    30,995.86/42,761.09 = 18,413.78/x
  3. Step 3: Cross multiply
    30,995.86x = 42,761.09 × 18,413.78
  4. Step 4: Simplify right side
    30,995.86x = 787,393,303.82
  5. Step 5: Solve for x
    x = 787,393,303.82/30,995.86
  6. Step 6: Final answer
    x = 25,403.18

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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.