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Finding the Fourth Proportional to 78,413.80, 117,620.70 and 34,061.80

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Solution

The fourth proportional to 78,413.80, 117,620.70 and 34,061.80 is: 51,092.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,413.80 : 117,620.70 = 34,061.80 : x
  2. Step 2: Convert to fraction form
    78,413.80/117,620.70 = 34,061.80/x
  3. Step 3: Cross multiply
    78,413.80x = 117,620.70 × 34,061.80
  4. Step 4: Simplify right side
    78,413.80x = 4,006,372,759.26
  5. Step 5: Solve for x
    x = 4,006,372,759.26/78,413.80
  6. Step 6: Final answer
    x = 51,092.70

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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.