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Finding the Fourth Proportional to 33,514.31, 50,283.14 and 21,019.55

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Solution

The fourth proportional to 33,514.31, 50,283.14 and 21,019.55 is: 31,536.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,514.31 : 50,283.14 = 21,019.55 : x
  2. Step 2: Convert to fraction form
    33,514.31/50,283.14 = 21,019.55/x
  3. Step 3: Cross multiply
    33,514.31x = 50,283.14 × 21,019.55
  4. Step 4: Simplify right side
    33,514.31x = 1,056,928,618.87
  5. Step 5: Solve for x
    x = 1,056,928,618.87/33,514.31
  6. Step 6: Final answer
    x = 31,536.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.