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Finding the Fourth Proportional to 72,942.10, 109,413.15 and 41,751.70

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Solution

The fourth proportional to 72,942.10, 109,413.15 and 41,751.70 is: 62,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,942.10 : 109,413.15 = 41,751.70 : x
  2. Step 2: Convert to fraction form
    72,942.10/109,413.15 = 41,751.70/x
  3. Step 3: Cross multiply
    72,942.10x = 109,413.15 × 41,751.70
  4. Step 4: Simplify right side
    72,942.10x = 4,568,185,014.86
  5. Step 5: Solve for x
    x = 4,568,185,014.86/72,942.10
  6. Step 6: Final answer
    x = 62,627.55

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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.