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Finding the Fourth Proportional to 33,714.90, 50,556.69 and 19,678.98

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Solution

The fourth proportional to 33,714.90, 50,556.69 and 19,678.98 is: 29,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,714.90 : 50,556.69 = 19,678.98 : x
  2. Step 2: Convert to fraction form
    33,714.90/50,556.69 = 19,678.98/x
  3. Step 3: Cross multiply
    33,714.90x = 50,556.69 × 19,678.98
  4. Step 4: Simplify right side
    33,714.90x = 994,904,091.38
  5. Step 5: Solve for x
    x = 994,904,091.38/33,714.90
  6. Step 6: Final answer
    x = 29,509.33

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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.