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Finding the Fourth Proportional to 33,413.40, 50,120.10 and 20,971.80

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Solution

The fourth proportional to 33,413.40, 50,120.10 and 20,971.80 is: 31,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,413.40 : 50,120.10 = 20,971.80 : x
  2. Step 2: Convert to fraction form
    33,413.40/50,120.10 = 20,971.80/x
  3. Step 3: Cross multiply
    33,413.40x = 50,120.10 × 20,971.80
  4. Step 4: Simplify right side
    33,413.40x = 1,051,108,713.18
  5. Step 5: Solve for x
    x = 1,051,108,713.18/33,413.40
  6. Step 6: Final answer
    x = 31,457.70

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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.