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Finding the Fourth Proportional to 34,604.52, 51,914.08 and 11,229.14

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Solution

The fourth proportional to 34,604.52, 51,914.08 and 11,229.14 is: 16,846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,604.52 : 51,914.08 = 11,229.14 : x
  2. Step 2: Convert to fraction form
    34,604.52/51,914.08 = 11,229.14/x
  3. Step 3: Cross multiply
    34,604.52x = 51,914.08 × 11,229.14
  4. Step 4: Simplify right side
    34,604.52x = 582,950,472.29
  5. Step 5: Solve for x
    x = 582,950,472.29/34,604.52
  6. Step 6: Final answer
    x = 16,846.08

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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.