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Finding the Fourth Proportional to 67,782.45, 101,664.99 and 17,866.47

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Solution

The fourth proportional to 67,782.45, 101,664.99 and 17,866.47 is: 26,797.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,782.45 : 101,664.99 = 17,866.47 : x
  2. Step 2: Convert to fraction form
    67,782.45/101,664.99 = 17,866.47/x
  3. Step 3: Cross multiply
    67,782.45x = 101,664.99 × 17,866.47
  4. Step 4: Simplify right side
    67,782.45x = 1,816,394,493.89
  5. Step 5: Solve for x
    x = 1,816,394,493.89/67,782.45
  6. Step 6: Final answer
    x = 26,797.42

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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.