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Finding the Fourth Proportional to 71,321.88, 106,997.40 and 24,568.68

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Solution

The fourth proportional to 71,321.88, 106,997.40 and 24,568.68 is: 36,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,321.88 : 106,997.40 = 24,568.68 : x
  2. Step 2: Convert to fraction form
    71,321.88/106,997.40 = 24,568.68/x
  3. Step 3: Cross multiply
    71,321.88x = 106,997.40 × 24,568.68
  4. Step 4: Simplify right side
    71,321.88x = 2,628,784,881.43
  5. Step 5: Solve for x
    x = 2,628,784,881.43/71,321.88
  6. Step 6: Final answer
    x = 36,858.04

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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.