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Finding the Fourth Proportional to 32,003.80, 47,967.30 and 16,413.40

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Solution

The fourth proportional to 32,003.80, 47,967.30 and 16,413.40 is: 24,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.80 : 47,967.30 = 16,413.40 : x
  2. Step 2: Convert to fraction form
    32,003.80/47,967.30 = 16,413.40/x
  3. Step 3: Cross multiply
    32,003.80x = 47,967.30 × 16,413.40
  4. Step 4: Simplify right side
    32,003.80x = 787,306,481.82
  5. Step 5: Solve for x
    x = 787,306,481.82/32,003.80
  6. Step 6: Final answer
    x = 24,600.41

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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.