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Finding the Fourth Proportional to 33,221.89, 49,824.33 and 9,842.86

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Solution

The fourth proportional to 33,221.89, 49,824.33 and 9,842.86 is: 14,761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,221.89 : 49,824.33 = 9,842.86 : x
  2. Step 2: Convert to fraction form
    33,221.89/49,824.33 = 9,842.86/x
  3. Step 3: Cross multiply
    33,221.89x = 49,824.33 × 9,842.86
  4. Step 4: Simplify right side
    33,221.89x = 490,413,904.78
  5. Step 5: Solve for x
    x = 490,413,904.78/33,221.89
  6. Step 6: Final answer
    x = 14,761.77

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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.