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Finding the Fourth Proportional to 36,448, 50,286.72 and 22,293.76

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Solution

The fourth proportional to 36,448, 50,286.72 and 22,293.76 is: 30,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,448 : 50,286.72 = 22,293.76 : x
  2. Step 2: Convert to fraction form
    36,448/50,286.72 = 22,293.76/x
  3. Step 3: Cross multiply
    36,448x = 50,286.72 × 22,293.76
  4. Step 4: Simplify right side
    36,448x = 1,121,080,066.87
  5. Step 5: Solve for x
    x = 1,121,080,066.87/36,448
  6. Step 6: Final answer
    x = 30,758.34

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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.