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Finding the Fourth Proportional to 33,311.58, 49,963.86 and 11,122.50

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Solution

The fourth proportional to 33,311.58, 49,963.86 and 11,122.50 is: 16,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,311.58 : 49,963.86 = 11,122.50 : x
  2. Step 2: Convert to fraction form
    33,311.58/49,963.86 = 11,122.50/x
  3. Step 3: Cross multiply
    33,311.58x = 49,963.86 × 11,122.50
  4. Step 4: Simplify right side
    33,311.58x = 555,723,032.85
  5. Step 5: Solve for x
    x = 555,723,032.85/33,311.58
  6. Step 6: Final answer
    x = 16,682.58

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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.