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Finding the Fourth Proportional to 33,007.70, 49,493.63 and 11,649.72

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Solution

The fourth proportional to 33,007.70, 49,493.63 and 11,649.72 is: 17,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,007.70 : 49,493.63 = 11,649.72 : x
  2. Step 2: Convert to fraction form
    33,007.70/49,493.63 = 11,649.72/x
  3. Step 3: Cross multiply
    33,007.70x = 49,493.63 × 11,649.72
  4. Step 4: Simplify right side
    33,007.70x = 576,587,146.01
  5. Step 5: Solve for x
    x = 576,587,146.01/33,007.70
  6. Step 6: Final answer
    x = 17,468.26

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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.