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Finding the Fourth Proportional to 33,217.29, 49,821.25 and 9,526.86

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Solution

The fourth proportional to 33,217.29, 49,821.25 and 9,526.86 is: 14,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,217.29 : 49,821.25 = 9,526.86 : x
  2. Step 2: Convert to fraction form
    33,217.29/49,821.25 = 9,526.86/x
  3. Step 3: Cross multiply
    33,217.29x = 49,821.25 × 9,526.86
  4. Step 4: Simplify right side
    33,217.29x = 474,640,073.78
  5. Step 5: Solve for x
    x = 474,640,073.78/33,217.29
  6. Step 6: Final answer
    x = 14,288.95

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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.