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Finding the Fourth Proportional to 33,984.84, 50,672.49 and 32,684.52

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Solution

The fourth proportional to 33,984.84, 50,672.49 and 32,684.52 is: 48,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984.84 : 50,672.49 = 32,684.52 : x
  2. Step 2: Convert to fraction form
    33,984.84/50,672.49 = 32,684.52/x
  3. Step 3: Cross multiply
    33,984.84x = 50,672.49 × 32,684.52
  4. Step 4: Simplify right side
    33,984.84x = 1,656,206,012.85
  5. Step 5: Solve for x
    x = 1,656,206,012.85/33,984.84
  6. Step 6: Final answer
    x = 48,733.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.