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Finding the Fourth Proportional to 36,384, 50,212.26 and 22,053.72

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Solution

The fourth proportional to 36,384, 50,212.26 and 22,053.72 is: 30,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,384 : 50,212.26 = 22,053.72 : x
  2. Step 2: Convert to fraction form
    36,384/50,212.26 = 22,053.72/x
  3. Step 3: Cross multiply
    36,384x = 50,212.26 × 22,053.72
  4. Step 4: Simplify right side
    36,384x = 1,107,367,122.61
  5. Step 5: Solve for x
    x = 1,107,367,122.61/36,384
  6. Step 6: Final answer
    x = 30,435.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.