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Finding the Fourth Proportional to 33,836.64, 46,649.82 and 27,764.64

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Solution

The fourth proportional to 33,836.64, 46,649.82 and 27,764.64 is: 38,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,836.64 : 46,649.82 = 27,764.64 : x
  2. Step 2: Convert to fraction form
    33,836.64/46,649.82 = 27,764.64/x
  3. Step 3: Cross multiply
    33,836.64x = 46,649.82 × 27,764.64
  4. Step 4: Simplify right side
    33,836.64x = 1,295,215,458.36
  5. Step 5: Solve for x
    x = 1,295,215,458.36/33,836.64
  6. Step 6: Final answer
    x = 38,278.49

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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.