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Finding the Fourth Proportional to 83,949, 125,923.49 and 27,774.02

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Solution

The fourth proportional to 83,949, 125,923.49 and 27,774.02 is: 41,661.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,949 : 125,923.49 = 27,774.02 : x
  2. Step 2: Convert to fraction form
    83,949/125,923.49 = 27,774.02/x
  3. Step 3: Cross multiply
    83,949x = 125,923.49 × 27,774.02
  4. Step 4: Simplify right side
    83,949x = 3,497,401,529.73
  5. Step 5: Solve for x
    x = 3,497,401,529.73/83,949
  6. Step 6: Final answer
    x = 41,661.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.