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Finding the Fourth Proportional to 33,077.58, 49,587.21 and 12,286.50

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Solution

The fourth proportional to 33,077.58, 49,587.21 and 12,286.50 is: 18,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,077.58 : 49,587.21 = 12,286.50 : x
  2. Step 2: Convert to fraction form
    33,077.58/49,587.21 = 12,286.50/x
  3. Step 3: Cross multiply
    33,077.58x = 49,587.21 × 12,286.50
  4. Step 4: Simplify right side
    33,077.58x = 609,253,255.67
  5. Step 5: Solve for x
    x = 609,253,255.67/33,077.58
  6. Step 6: Final answer
    x = 18,418.92

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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.