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Finding the Fourth Proportional to 33,183, 49,775.75 and 9,169.74

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Solution

The fourth proportional to 33,183, 49,775.75 and 9,169.74 is: 13,754.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,183 : 49,775.75 = 9,169.74 : x
  2. Step 2: Convert to fraction form
    33,183/49,775.75 = 9,169.74/x
  3. Step 3: Cross multiply
    33,183x = 49,775.75 × 9,169.74
  4. Step 4: Simplify right side
    33,183x = 456,430,639.96
  5. Step 5: Solve for x
    x = 456,430,639.96/33,183
  6. Step 6: Final answer
    x = 13,754.95

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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.