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Finding the Fourth Proportional to 49,183, 73,774.50 and 16,351

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Solution

The fourth proportional to 49,183, 73,774.50 and 16,351 is: 24,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,183 : 73,774.50 = 16,351 : x
  2. Step 2: Convert to fraction form
    49,183/73,774.50 = 16,351/x
  3. Step 3: Cross multiply
    49,183x = 73,774.50 × 16,351
  4. Step 4: Simplify right side
    49,183x = 1,206,286,849.50
  5. Step 5: Solve for x
    x = 1,206,286,849.50/49,183
  6. Step 6: Final answer
    x = 24,526.50

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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.