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Finding the Fourth Proportional to 33,324.64, 49,987.02 and 9,949.24

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Solution

The fourth proportional to 33,324.64, 49,987.02 and 9,949.24 is: 14,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,324.64 : 49,987.02 = 9,949.24 : x
  2. Step 2: Convert to fraction form
    33,324.64/49,987.02 = 9,949.24/x
  3. Step 3: Cross multiply
    33,324.64x = 49,987.02 × 9,949.24
  4. Step 4: Simplify right side
    33,324.64x = 497,332,858.86
  5. Step 5: Solve for x
    x = 497,332,858.86/33,324.64
  6. Step 6: Final answer
    x = 14,923.88

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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.