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Finding the Fourth Proportional to 68,194.20, 102,024 and 44,866.20

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Solution

The fourth proportional to 68,194.20, 102,024 and 44,866.20 is: 67,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,194.20 : 102,024 = 44,866.20 : x
  2. Step 2: Convert to fraction form
    68,194.20/102,024 = 44,866.20/x
  3. Step 3: Cross multiply
    68,194.20x = 102,024 × 44,866.20
  4. Step 4: Simplify right side
    68,194.20x = 4,577,429,188.80
  5. Step 5: Solve for x
    x = 4,577,429,188.80/68,194.20
  6. Step 6: Final answer
    x = 67,123.44

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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.