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Finding the Fourth Proportional to 33,633.44, 46,414.16 and 19,494.48

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Solution

The fourth proportional to 33,633.44, 46,414.16 and 19,494.48 is: 26,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.44 : 46,414.16 = 19,494.48 : x
  2. Step 2: Convert to fraction form
    33,633.44/46,414.16 = 19,494.48/x
  3. Step 3: Cross multiply
    33,633.44x = 46,414.16 × 19,494.48
  4. Step 4: Simplify right side
    33,633.44x = 904,819,913.84
  5. Step 5: Solve for x
    x = 904,819,913.84/33,633.44
  6. Step 6: Final answer
    x = 26,902.39

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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.