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Finding the Fourth Proportional to 33,469.74, 50,187.87 and 13,743

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Solution

The fourth proportional to 33,469.74, 50,187.87 and 13,743 is: 20,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,469.74 : 50,187.87 = 13,743 : x
  2. Step 2: Convert to fraction form
    33,469.74/50,187.87 = 13,743/x
  3. Step 3: Cross multiply
    33,469.74x = 50,187.87 × 13,743
  4. Step 4: Simplify right side
    33,469.74x = 689,731,897.41
  5. Step 5: Solve for x
    x = 689,731,897.41/33,469.74
  6. Step 6: Final answer
    x = 20,607.63

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1.5x scale

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.