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Finding the Fourth Proportional to 29,223, 43,834.50 and 9,767

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Solution

The fourth proportional to 29,223, 43,834.50 and 9,767 is: 14,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,223 : 43,834.50 = 9,767 : x
  2. Step 2: Convert to fraction form
    29,223/43,834.50 = 9,767/x
  3. Step 3: Cross multiply
    29,223x = 43,834.50 × 9,767
  4. Step 4: Simplify right side
    29,223x = 428,131,561.50
  5. Step 5: Solve for x
    x = 428,131,561.50/29,223
  6. Step 6: Final answer
    x = 14,650.50

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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.