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Finding the Fourth Proportional to 70,940.30, 106,441.79 and 37,198.26

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Solution

The fourth proportional to 70,940.30, 106,441.79 and 37,198.26 is: 55,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,940.30 : 106,441.79 = 37,198.26 : x
  2. Step 2: Convert to fraction form
    70,940.30/106,441.79 = 37,198.26/x
  3. Step 3: Cross multiply
    70,940.30x = 106,441.79 × 37,198.26
  4. Step 4: Simplify right side
    70,940.30x = 3,959,449,379.29
  5. Step 5: Solve for x
    x = 3,959,449,379.29/70,940.30
  6. Step 6: Final answer
    x = 55,813.82

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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.