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Finding the Fourth Proportional to 68,119.52, 102,046.42 and 38,447.60

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Solution

The fourth proportional to 68,119.52, 102,046.42 and 38,447.60 is: 57,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,119.52 : 102,046.42 = 38,447.60 : x
  2. Step 2: Convert to fraction form
    68,119.52/102,046.42 = 38,447.60/x
  3. Step 3: Cross multiply
    68,119.52x = 102,046.42 × 38,447.60
  4. Step 4: Simplify right side
    68,119.52x = 3,923,439,937.59
  5. Step 5: Solve for x
    x = 3,923,439,937.59/68,119.52
  6. Step 6: Final answer
    x = 57,596.41

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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.