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Finding the Fourth Proportional to 68,197.52, 102,234.72 and 28,757

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Solution

The fourth proportional to 68,197.52, 102,234.72 and 28,757 is: 43,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,197.52 : 102,234.72 = 28,757 : x
  2. Step 2: Convert to fraction form
    68,197.52/102,234.72 = 28,757/x
  3. Step 3: Cross multiply
    68,197.52x = 102,234.72 × 28,757
  4. Step 4: Simplify right side
    68,197.52x = 2,939,963,843.04
  5. Step 5: Solve for x
    x = 2,939,963,843.04/68,197.52
  6. Step 6: Final answer
    x = 43,109.54

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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.