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Finding the Fourth Proportional to 33,715.17, 50,571.54 and 10,341

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Solution

The fourth proportional to 33,715.17, 50,571.54 and 10,341 is: 15,511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,715.17 : 50,571.54 = 10,341 : x
  2. Step 2: Convert to fraction form
    33,715.17/50,571.54 = 10,341/x
  3. Step 3: Cross multiply
    33,715.17x = 50,571.54 × 10,341
  4. Step 4: Simplify right side
    33,715.17x = 522,960,295.14
  5. Step 5: Solve for x
    x = 522,960,295.14/33,715.17
  6. Step 6: Final answer
    x = 15,511.13

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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.