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Finding the Fourth Proportional to 70,234.35, 105,302.24 and 25,855.41

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Solution

The fourth proportional to 70,234.35, 105,302.24 and 25,855.41 is: 38,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,234.35 : 105,302.24 = 25,855.41 : x
  2. Step 2: Convert to fraction form
    70,234.35/105,302.24 = 25,855.41/x
  3. Step 3: Cross multiply
    70,234.35x = 105,302.24 × 25,855.41
  4. Step 4: Simplify right side
    70,234.35x = 2,722,632,589.12
  5. Step 5: Solve for x
    x = 2,722,632,589.12/70,234.35
  6. Step 6: Final answer
    x = 38,764.97

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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.