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Finding the Fourth Proportional to 70,796.24, 106,164.64 and 41,234.48

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Solution

The fourth proportional to 70,796.24, 106,164.64 and 41,234.48 is: 61,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,796.24 : 106,164.64 = 41,234.48 : x
  2. Step 2: Convert to fraction form
    70,796.24/106,164.64 = 41,234.48/x
  3. Step 3: Cross multiply
    70,796.24x = 106,164.64 × 41,234.48
  4. Step 4: Simplify right side
    70,796.24x = 4,377,643,724.79
  5. Step 5: Solve for x
    x = 4,377,643,724.79/70,796.24
  6. Step 6: Final answer
    x = 61,834.41

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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.