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Finding the Fourth Proportional to 33,844.75, 50,767.13 and 9,220.75

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Solution

The fourth proportional to 33,844.75, 50,767.13 and 9,220.75 is: 13,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,844.75 : 50,767.13 = 9,220.75 : x
  2. Step 2: Convert to fraction form
    33,844.75/50,767.13 = 9,220.75/x
  3. Step 3: Cross multiply
    33,844.75x = 50,767.13 × 9,220.75
  4. Step 4: Simplify right side
    33,844.75x = 468,111,013.95
  5. Step 5: Solve for x
    x = 468,111,013.95/33,844.75
  6. Step 6: Final answer
    x = 13,831.13

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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.