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Finding the Fourth Proportional to 36,413.42, 50,251.46 and 20,498.44

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Solution

The fourth proportional to 36,413.42, 50,251.46 and 20,498.44 is: 28,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,413.42 : 50,251.46 = 20,498.44 : x
  2. Step 2: Convert to fraction form
    36,413.42/50,251.46 = 20,498.44/x
  3. Step 3: Cross multiply
    36,413.42x = 50,251.46 × 20,498.44
  4. Step 4: Simplify right side
    36,413.42x = 1,030,076,537.72
  5. Step 5: Solve for x
    x = 1,030,076,537.72/36,413.42
  6. Step 6: Final answer
    x = 28,288.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.