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Finding the Fourth Proportional to 33,586.54, 50,379.84 and 10,213

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Solution

The fourth proportional to 33,586.54, 50,379.84 and 10,213 is: 15,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,586.54 : 50,379.84 = 10,213 : x
  2. Step 2: Convert to fraction form
    33,586.54/50,379.84 = 10,213/x
  3. Step 3: Cross multiply
    33,586.54x = 50,379.84 × 10,213
  4. Step 4: Simplify right side
    33,586.54x = 514,529,305.92
  5. Step 5: Solve for x
    x = 514,529,305.92/33,586.54
  6. Step 6: Final answer
    x = 15,319.51

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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.