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Finding the Fourth Proportional to 33,946.57, 50,907.70 and 11,753.99

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Solution

The fourth proportional to 33,946.57, 50,907.70 and 11,753.99 is: 17,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,946.57 : 50,907.70 = 11,753.99 : x
  2. Step 2: Convert to fraction form
    33,946.57/50,907.70 = 11,753.99/x
  3. Step 3: Cross multiply
    33,946.57x = 50,907.70 × 11,753.99
  4. Step 4: Simplify right side
    33,946.57x = 598,368,356.88
  5. Step 5: Solve for x
    x = 598,368,356.88/33,946.57
  6. Step 6: Final answer
    x = 17,626.77

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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.