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Finding the Fourth Proportional to 51,433.70, 70,992.38 and 30,227.09

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Solution

The fourth proportional to 51,433.70, 70,992.38 and 30,227.09 is: 41,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,433.70 : 70,992.38 = 30,227.09 : x
  2. Step 2: Convert to fraction form
    51,433.70/70,992.38 = 30,227.09/x
  3. Step 3: Cross multiply
    51,433.70x = 70,992.38 × 30,227.09
  4. Step 4: Simplify right side
    51,433.70x = 2,145,892,780.18
  5. Step 5: Solve for x
    x = 2,145,892,780.18/51,433.70
  6. Step 6: Final answer
    x = 41,721.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.