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Finding the Fourth Proportional to 33,704.84, 50,559.48 and 13,984.98

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Solution

The fourth proportional to 33,704.84, 50,559.48 and 13,984.98 is: 20,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,704.84 : 50,559.48 = 13,984.98 : x
  2. Step 2: Convert to fraction form
    33,704.84/50,559.48 = 13,984.98/x
  3. Step 3: Cross multiply
    33,704.84x = 50,559.48 × 13,984.98
  4. Step 4: Simplify right side
    33,704.84x = 707,073,316.61
  5. Step 5: Solve for x
    x = 707,073,316.61/33,704.84
  6. Step 6: Final answer
    x = 20,978.39

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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.