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Finding the Fourth Proportional to 65,814.66, 98,722 and 19,067.56

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Solution

The fourth proportional to 65,814.66, 98,722 and 19,067.56 is: 28,601.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,814.66 : 98,722 = 19,067.56 : x
  2. Step 2: Convert to fraction form
    65,814.66/98,722 = 19,067.56/x
  3. Step 3: Cross multiply
    65,814.66x = 98,722 × 19,067.56
  4. Step 4: Simplify right side
    65,814.66x = 1,882,387,658.32
  5. Step 5: Solve for x
    x = 1,882,387,658.32/65,814.66
  6. Step 6: Final answer
    x = 28,601.34

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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.