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Finding the Fourth Proportional to 33,720.54, 50,578.98 and 10,347

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Solution

The fourth proportional to 33,720.54, 50,578.98 and 10,347 is: 15,519.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,720.54 : 50,578.98 = 10,347 : x
  2. Step 2: Convert to fraction form
    33,720.54/50,578.98 = 10,347/x
  3. Step 3: Cross multiply
    33,720.54x = 50,578.98 × 10,347
  4. Step 4: Simplify right side
    33,720.54x = 523,340,706.06
  5. Step 5: Solve for x
    x = 523,340,706.06/33,720.54
  6. Step 6: Final answer
    x = 15,519.94

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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.