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Finding the Fourth Proportional to 34,604.76, 51,909 and 11,229.48

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Solution

The fourth proportional to 34,604.76, 51,909 and 11,229.48 is: 16,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,604.76 : 51,909 = 11,229.48 : x
  2. Step 2: Convert to fraction form
    34,604.76/51,909 = 11,229.48/x
  3. Step 3: Cross multiply
    34,604.76x = 51,909 × 11,229.48
  4. Step 4: Simplify right side
    34,604.76x = 582,911,077.32
  5. Step 5: Solve for x
    x = 582,911,077.32/34,604.76
  6. Step 6: Final answer
    x = 16,844.82

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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.