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Finding the Fourth Proportional to 36,362, 50,188.56 and 22,226.78

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Solution

The fourth proportional to 36,362, 50,188.56 and 22,226.78 is: 30,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,362 : 50,188.56 = 22,226.78 : x
  2. Step 2: Convert to fraction form
    36,362/50,188.56 = 22,226.78/x
  3. Step 3: Cross multiply
    36,362x = 50,188.56 × 22,226.78
  4. Step 4: Simplify right side
    36,362x = 1,115,530,081.64
  5. Step 5: Solve for x
    x = 1,115,530,081.64/36,362
  6. Step 6: Final answer
    x = 30,678.46

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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.