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Finding the Fourth Proportional to 33,221.16, 49,831.92 and 9,847.80

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Solution

The fourth proportional to 33,221.16, 49,831.92 and 9,847.80 is: 14,771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,221.16 : 49,831.92 = 9,847.80 : x
  2. Step 2: Convert to fraction form
    33,221.16/49,831.92 = 9,847.80/x
  3. Step 3: Cross multiply
    33,221.16x = 49,831.92 × 9,847.80
  4. Step 4: Simplify right side
    33,221.16x = 490,734,781.78
  5. Step 5: Solve for x
    x = 490,734,781.78/33,221.16
  6. Step 6: Final answer
    x = 14,771.75

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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.