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Finding the Fourth Proportional to 12,049, 18,073.50 and 3,841

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Solution

The fourth proportional to 12,049, 18,073.50 and 3,841 is: 5,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049 : 18,073.50 = 3,841 : x
  2. Step 2: Convert to fraction form
    12,049/18,073.50 = 3,841/x
  3. Step 3: Cross multiply
    12,049x = 18,073.50 × 3,841
  4. Step 4: Simplify right side
    12,049x = 69,420,313.50
  5. Step 5: Solve for x
    x = 69,420,313.50/12,049
  6. Step 6: Final answer
    x = 5,761.50

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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.