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Finding the Fourth Proportional to 71,717.94, 107,591.49 and 24,974.46

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Solution

The fourth proportional to 71,717.94, 107,591.49 and 24,974.46 is: 37,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,717.94 : 107,591.49 = 24,974.46 : x
  2. Step 2: Convert to fraction form
    71,717.94/107,591.49 = 24,974.46/x
  3. Step 3: Cross multiply
    71,717.94x = 107,591.49 × 24,974.46
  4. Step 4: Simplify right side
    71,717.94x = 2,687,039,363.35
  5. Step 5: Solve for x
    x = 2,687,039,363.35/71,717.94
  6. Step 6: Final answer
    x = 37,466.77

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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.