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Finding the Fourth Proportional to 73,684.40, 110,413.20 and 54,876.20

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Solution

The fourth proportional to 73,684.40, 110,413.20 and 54,876.20 is: 82,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,684.40 : 110,413.20 = 54,876.20 : x
  2. Step 2: Convert to fraction form
    73,684.40/110,413.20 = 54,876.20/x
  3. Step 3: Cross multiply
    73,684.40x = 110,413.20 × 54,876.20
  4. Step 4: Simplify right side
    73,684.40x = 6,059,056,845.84
  5. Step 5: Solve for x
    x = 6,059,056,845.84/73,684.40
  6. Step 6: Final answer
    x = 82,229.85

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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.