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Finding the Fourth Proportional to 70,234.94, 105,351.33 and 17,644.43

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Solution

The fourth proportional to 70,234.94, 105,351.33 and 17,644.43 is: 26,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,234.94 : 105,351.33 = 17,644.43 : x
  2. Step 2: Convert to fraction form
    70,234.94/105,351.33 = 17,644.43/x
  3. Step 3: Cross multiply
    70,234.94x = 105,351.33 × 17,644.43
  4. Step 4: Simplify right side
    70,234.94x = 1,858,864,167.59
  5. Step 5: Solve for x
    x = 1,858,864,167.59/70,234.94
  6. Step 6: Final answer
    x = 26,466.37

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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.