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Finding the Fourth Proportional to 33,007.50, 49,511.66 and 12,231

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Solution

The fourth proportional to 33,007.50, 49,511.66 and 12,231 is: 18,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,007.50 : 49,511.66 = 12,231 : x
  2. Step 2: Convert to fraction form
    33,007.50/49,511.66 = 12,231/x
  3. Step 3: Cross multiply
    33,007.50x = 49,511.66 × 12,231
  4. Step 4: Simplify right side
    33,007.50x = 605,577,052.31
  5. Step 5: Solve for x
    x = 605,577,052.31/33,007.50
  6. Step 6: Final answer
    x = 18,346.65

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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.