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Finding the Fourth Proportional to 70,963.27, 106,324.41 and 42,824.20

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Solution

The fourth proportional to 70,963.27, 106,324.41 and 42,824.20 is: 64,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,963.27 : 106,324.41 = 42,824.20 : x
  2. Step 2: Convert to fraction form
    70,963.27/106,324.41 = 42,824.20/x
  3. Step 3: Cross multiply
    70,963.27x = 106,324.41 × 42,824.20
  4. Step 4: Simplify right side
    70,963.27x = 4,553,257,905.78
  5. Step 5: Solve for x
    x = 4,553,257,905.78/70,963.27
  6. Step 6: Final answer
    x = 64,163.58

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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.