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Finding the Fourth Proportional to 68,443.57, 94,450.20 and 38,228

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Solution

The fourth proportional to 68,443.57, 94,450.20 and 38,228 is: 52,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,443.57 : 94,450.20 = 38,228 : x
  2. Step 2: Convert to fraction form
    68,443.57/94,450.20 = 38,228/x
  3. Step 3: Cross multiply
    68,443.57x = 94,450.20 × 38,228
  4. Step 4: Simplify right side
    68,443.57x = 3,610,642,245.60
  5. Step 5: Solve for x
    x = 3,610,642,245.60/68,443.57
  6. Step 6: Final answer
    x = 52,753.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.