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Finding the Fourth Proportional to 71,542.88, 107,315.68 and 24,797.28

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Solution

The fourth proportional to 71,542.88, 107,315.68 and 24,797.28 is: 37,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,542.88 : 107,315.68 = 24,797.28 : x
  2. Step 2: Convert to fraction form
    71,542.88/107,315.68 = 24,797.28/x
  3. Step 3: Cross multiply
    71,542.88x = 107,315.68 × 24,797.28
  4. Step 4: Simplify right side
    71,542.88x = 2,661,136,965.35
  5. Step 5: Solve for x
    x = 2,661,136,965.35/71,542.88
  6. Step 6: Final answer
    x = 37,196.39

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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.