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Finding the Fourth Proportional to 33,259, 49,891.74 and 8,635

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Solution

The fourth proportional to 33,259, 49,891.74 and 8,635 is: 12,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,259 : 49,891.74 = 8,635 : x
  2. Step 2: Convert to fraction form
    33,259/49,891.74 = 8,635/x
  3. Step 3: Cross multiply
    33,259x = 49,891.74 × 8,635
  4. Step 4: Simplify right side
    33,259x = 430,815,174.90
  5. Step 5: Solve for x
    x = 430,815,174.90/33,259
  6. Step 6: Final answer
    x = 12,953.34

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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.