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Finding the Fourth Proportional to 68,578.80, 102,868.20 and 24,205.20

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Solution

The fourth proportional to 68,578.80, 102,868.20 and 24,205.20 is: 36,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,578.80 : 102,868.20 = 24,205.20 : x
  2. Step 2: Convert to fraction form
    68,578.80/102,868.20 = 24,205.20/x
  3. Step 3: Cross multiply
    68,578.80x = 102,868.20 × 24,205.20
  4. Step 4: Simplify right side
    68,578.80x = 2,489,945,354.64
  5. Step 5: Solve for x
    x = 2,489,945,354.64/68,578.80
  6. Step 6: Final answer
    x = 36,307.80

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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.