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Finding the Fourth Proportional to 68,498.30, 102,747.47 and 44,825.78

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Solution

The fourth proportional to 68,498.30, 102,747.47 and 44,825.78 is: 67,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,498.30 : 102,747.47 = 44,825.78 : x
  2. Step 2: Convert to fraction form
    68,498.30/102,747.47 = 44,825.78/x
  3. Step 3: Cross multiply
    68,498.30x = 102,747.47 × 44,825.78
  4. Step 4: Simplify right side
    68,498.30x = 4,605,735,770.66
  5. Step 5: Solve for x
    x = 4,605,735,770.66/68,498.30
  6. Step 6: Final answer
    x = 67,238.68

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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.