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Finding the Fourth Proportional to 54,923, 75,794.10 and 29,772.68

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Solution

The fourth proportional to 54,923, 75,794.10 and 29,772.68 is: 41,086.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,923 : 75,794.10 = 29,772.68 : x
  2. Step 2: Convert to fraction form
    54,923/75,794.10 = 29,772.68/x
  3. Step 3: Cross multiply
    54,923x = 75,794.10 × 29,772.68
  4. Step 4: Simplify right side
    54,923x = 2,256,593,485.19
  5. Step 5: Solve for x
    x = 2,256,593,485.19/54,923
  6. Step 6: Final answer
    x = 41,086.49

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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.