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Finding the Fourth Proportional to 33,224.99, 49,836.77 and 11,038.55

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Solution

The fourth proportional to 33,224.99, 49,836.77 and 11,038.55 is: 16,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,224.99 : 49,836.77 = 11,038.55 : x
  2. Step 2: Convert to fraction form
    33,224.99/49,836.77 = 11,038.55/x
  3. Step 3: Cross multiply
    33,224.99x = 49,836.77 × 11,038.55
  4. Step 4: Simplify right side
    33,224.99x = 550,125,414.50
  5. Step 5: Solve for x
    x = 550,125,414.50/33,224.99
  6. Step 6: Final answer
    x = 16,557.58

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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.