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Finding the Fourth Proportional to 36,363, 50,189.94 and 22,227.78

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Solution

The fourth proportional to 36,363, 50,189.94 and 22,227.78 is: 30,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,363 : 50,189.94 = 22,227.78 : x
  2. Step 2: Convert to fraction form
    36,363/50,189.94 = 22,227.78/x
  3. Step 3: Cross multiply
    36,363x = 50,189.94 × 22,227.78
  4. Step 4: Simplify right side
    36,363x = 1,115,610,944.53
  5. Step 5: Solve for x
    x = 1,115,610,944.53/36,363
  6. Step 6: Final answer
    x = 30,679.84

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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.