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Finding the Fourth Proportional to 33,208.83, 49,820.54 and 9,837.09

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Solution

The fourth proportional to 33,208.83, 49,820.54 and 9,837.09 is: 14,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,208.83 : 49,820.54 = 9,837.09 : x
  2. Step 2: Convert to fraction form
    33,208.83/49,820.54 = 9,837.09/x
  3. Step 3: Cross multiply
    33,208.83x = 49,820.54 × 9,837.09
  4. Step 4: Simplify right side
    33,208.83x = 490,089,086.64
  5. Step 5: Solve for x
    x = 490,089,086.64/33,208.83
  6. Step 6: Final answer
    x = 14,757.79

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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.