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Finding the Fourth Proportional to 78,413.66, 117,621.09 and 19,249.84

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Solution

The fourth proportional to 78,413.66, 117,621.09 and 19,249.84 is: 28,874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,413.66 : 117,621.09 = 19,249.84 : x
  2. Step 2: Convert to fraction form
    78,413.66/117,621.09 = 19,249.84/x
  3. Step 3: Cross multiply
    78,413.66x = 117,621.09 × 19,249.84
  4. Step 4: Simplify right side
    78,413.66x = 2,264,187,163.13
  5. Step 5: Solve for x
    x = 2,264,187,163.13/78,413.66
  6. Step 6: Final answer
    x = 28,874.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.