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Finding the Fourth Proportional to 33,838.74, 50,762.97 and 10,467

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Solution

The fourth proportional to 33,838.74, 50,762.97 and 10,467 is: 15,702.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.74 : 50,762.97 = 10,467 : x
  2. Step 2: Convert to fraction form
    33,838.74/50,762.97 = 10,467/x
  3. Step 3: Cross multiply
    33,838.74x = 50,762.97 × 10,467
  4. Step 4: Simplify right side
    33,838.74x = 531,336,006.99
  5. Step 5: Solve for x
    x = 531,336,006.99/33,838.74
  6. Step 6: Final answer
    x = 15,702.00

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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.