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Finding the Fourth Proportional to 121,951.94, 182,909.41 and 33,212.43

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Solution

The fourth proportional to 121,951.94, 182,909.41 and 33,212.43 is: 49,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,951.94 : 182,909.41 = 33,212.43 : x
  2. Step 2: Convert to fraction form
    121,951.94/182,909.41 = 33,212.43/x
  3. Step 3: Cross multiply
    121,951.94x = 182,909.41 × 33,212.43
  4. Step 4: Simplify right side
    121,951.94x = 6,074,865,892.94
  5. Step 5: Solve for x
    x = 6,074,865,892.94/121,951.94
  6. Step 6: Final answer
    x = 49,813.61

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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.