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Finding the Fourth Proportional to 68,441.57, 94,447.44 and 38,226

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Solution

The fourth proportional to 68,441.57, 94,447.44 and 38,226 is: 52,750.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,441.57 : 94,447.44 = 38,226 : x
  2. Step 2: Convert to fraction form
    68,441.57/94,447.44 = 38,226/x
  3. Step 3: Cross multiply
    68,441.57x = 94,447.44 × 38,226
  4. Step 4: Simplify right side
    68,441.57x = 3,610,347,841.44
  5. Step 5: Solve for x
    x = 3,610,347,841.44/68,441.57
  6. Step 6: Final answer
    x = 52,750.81

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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.