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Finding the Fourth Proportional to 33,224.74, 49,846.74 and 9,851.74

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Solution

The fourth proportional to 33,224.74, 49,846.74 and 9,851.74 is: 14,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,224.74 : 49,846.74 = 9,851.74 : x
  2. Step 2: Convert to fraction form
    33,224.74/49,846.74 = 9,851.74/x
  3. Step 3: Cross multiply
    33,224.74x = 49,846.74 × 9,851.74
  4. Step 4: Simplify right side
    33,224.74x = 491,077,122.33
  5. Step 5: Solve for x
    x = 491,077,122.33/33,224.74
  6. Step 6: Final answer
    x = 14,780.47

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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.