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Finding the Fourth Proportional to 37,149.80, 55,724.70 and 16,413.80

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Solution

The fourth proportional to 37,149.80, 55,724.70 and 16,413.80 is: 24,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,149.80 : 55,724.70 = 16,413.80 : x
  2. Step 2: Convert to fraction form
    37,149.80/55,724.70 = 16,413.80/x
  3. Step 3: Cross multiply
    37,149.80x = 55,724.70 × 16,413.80
  4. Step 4: Simplify right side
    37,149.80x = 914,654,080.86
  5. Step 5: Solve for x
    x = 914,654,080.86/37,149.80
  6. Step 6: Final answer
    x = 24,620.70

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1.5x scale

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.