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Finding the Fourth Proportional to 71,759.66, 107,644.95 and 21,844.01

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Solution

The fourth proportional to 71,759.66, 107,644.95 and 21,844.01 is: 32,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,759.66 : 107,644.95 = 21,844.01 : x
  2. Step 2: Convert to fraction form
    71,759.66/107,644.95 = 21,844.01/x
  3. Step 3: Cross multiply
    71,759.66x = 107,644.95 × 21,844.01
  4. Step 4: Simplify right side
    71,759.66x = 2,351,397,633.36
  5. Step 5: Solve for x
    x = 2,351,397,633.36/71,759.66
  6. Step 6: Final answer
    x = 32,767.68

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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.