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Finding the Fourth Proportional to 33,714.33, 50,555.85 and 19,678.40

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Solution

The fourth proportional to 33,714.33, 50,555.85 and 19,678.40 is: 29,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,714.33 : 50,555.85 = 19,678.40 : x
  2. Step 2: Convert to fraction form
    33,714.33/50,555.85 = 19,678.40/x
  3. Step 3: Cross multiply
    33,714.33x = 50,555.85 × 19,678.40
  4. Step 4: Simplify right side
    33,714.33x = 994,858,238.64
  5. Step 5: Solve for x
    x = 994,858,238.64/33,714.33
  6. Step 6: Final answer
    x = 29,508.47

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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.