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Finding the Fourth Proportional to 33,147.50, 49,723.68 and 12,371

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Solution

The fourth proportional to 33,147.50, 49,723.68 and 12,371 is: 18,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,147.50 : 49,723.68 = 12,371 : x
  2. Step 2: Convert to fraction form
    33,147.50/49,723.68 = 12,371/x
  3. Step 3: Cross multiply
    33,147.50x = 49,723.68 × 12,371
  4. Step 4: Simplify right side
    33,147.50x = 615,131,645.28
  5. Step 5: Solve for x
    x = 615,131,645.28/33,147.50
  6. Step 6: Final answer
    x = 18,557.41

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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.