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Finding the Fourth Proportional to 33,223, 49,834.50 and 8,599

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Solution

The fourth proportional to 33,223, 49,834.50 and 8,599 is: 12,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,223 : 49,834.50 = 8,599 : x
  2. Step 2: Convert to fraction form
    33,223/49,834.50 = 8,599/x
  3. Step 3: Cross multiply
    33,223x = 49,834.50 × 8,599
  4. Step 4: Simplify right side
    33,223x = 428,526,865.50
  5. Step 5: Solve for x
    x = 428,526,865.50/33,223
  6. Step 6: Final answer
    x = 12,898.50

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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.