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Finding the Fourth Proportional to 84,213.50, 126,257.06 and 50,926.74

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Solution

The fourth proportional to 84,213.50, 126,257.06 and 50,926.74 is: 76,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,213.50 : 126,257.06 = 50,926.74 : x
  2. Step 2: Convert to fraction form
    84,213.50/126,257.06 = 50,926.74/x
  3. Step 3: Cross multiply
    84,213.50x = 126,257.06 × 50,926.74
  4. Step 4: Simplify right side
    84,213.50x = 6,429,860,213.15
  5. Step 5: Solve for x
    x = 6,429,860,213.15/84,213.50
  6. Step 6: Final answer
    x = 76,351.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.