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Finding the Fourth Proportional to 50,112, 69,154.56 and 27,757.44

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Solution

The fourth proportional to 50,112, 69,154.56 and 27,757.44 is: 38,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,112 : 69,154.56 = 27,757.44 : x
  2. Step 2: Convert to fraction form
    50,112/69,154.56 = 27,757.44/x
  3. Step 3: Cross multiply
    50,112x = 69,154.56 × 27,757.44
  4. Step 4: Simplify right side
    50,112x = 1,919,553,549.93
  5. Step 5: Solve for x
    x = 1,919,553,549.93/50,112
  6. Step 6: Final answer
    x = 38,305.27

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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.