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Finding the Fourth Proportional to 33,222.74, 49,843.74 and 9,849.74

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Solution

The fourth proportional to 33,222.74, 49,843.74 and 9,849.74 is: 14,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,222.74 : 49,843.74 = 9,849.74 : x
  2. Step 2: Convert to fraction form
    33,222.74/49,843.74 = 9,849.74/x
  3. Step 3: Cross multiply
    33,222.74x = 49,843.74 × 9,849.74
  4. Step 4: Simplify right side
    33,222.74x = 490,947,879.63
  5. Step 5: Solve for x
    x = 490,947,879.63/33,222.74
  6. Step 6: Final answer
    x = 14,777.47

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1.5x scale

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.