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Finding the Fourth Proportional to 32,711.96, 49,067.74 and 19,568

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Solution

The fourth proportional to 32,711.96, 49,067.74 and 19,568 is: 29,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,711.96 : 49,067.74 = 19,568 : x
  2. Step 2: Convert to fraction form
    32,711.96/49,067.74 = 19,568/x
  3. Step 3: Cross multiply
    32,711.96x = 49,067.74 × 19,568
  4. Step 4: Simplify right side
    32,711.96x = 960,157,536.32
  5. Step 5: Solve for x
    x = 960,157,536.32/32,711.96
  6. Step 6: Final answer
    x = 29,351.88

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Why These Related Problems?

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