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Finding the Fourth Proportional to 33,633.50, 46,414.23 and 19,494.55

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Solution

The fourth proportional to 33,633.50, 46,414.23 and 19,494.55 is: 26,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.50 : 46,414.23 = 19,494.55 : x
  2. Step 2: Convert to fraction form
    33,633.50/46,414.23 = 19,494.55/x
  3. Step 3: Cross multiply
    33,633.50x = 46,414.23 × 19,494.55
  4. Step 4: Simplify right side
    33,633.50x = 904,824,527.45
  5. Step 5: Solve for x
    x = 904,824,527.45/33,633.50
  6. Step 6: Final answer
    x = 26,902.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.