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Finding the Fourth Proportional to 68,943.68, 103,443.68 and 24,578.88

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Solution

The fourth proportional to 68,943.68, 103,443.68 and 24,578.88 is: 36,878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,943.68 : 103,443.68 = 24,578.88 : x
  2. Step 2: Convert to fraction form
    68,943.68/103,443.68 = 24,578.88/x
  3. Step 3: Cross multiply
    68,943.68x = 103,443.68 × 24,578.88
  4. Step 4: Simplify right side
    68,943.68x = 2,542,529,797.48
  5. Step 5: Solve for x
    x = 2,542,529,797.48/68,943.68
  6. Step 6: Final answer
    x = 36,878.36

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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.