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Finding the Fourth Proportional to 68,704.92, 102,923.19 and 47,353.82

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Solution

The fourth proportional to 68,704.92, 102,923.19 and 47,353.82 is: 70,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,704.92 : 102,923.19 = 47,353.82 : x
  2. Step 2: Convert to fraction form
    68,704.92/102,923.19 = 47,353.82/x
  3. Step 3: Cross multiply
    68,704.92x = 102,923.19 × 47,353.82
  4. Step 4: Simplify right side
    68,704.92x = 4,873,805,698.47
  5. Step 5: Solve for x
    x = 4,873,805,698.47/68,704.92
  6. Step 6: Final answer
    x = 70,938.23

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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.