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Finding the Fourth Proportional to 33,047.35, 49,573.83 and 10,561.24

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Solution

The fourth proportional to 33,047.35, 49,573.83 and 10,561.24 is: 15,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,047.35 : 49,573.83 = 10,561.24 : x
  2. Step 2: Convert to fraction form
    33,047.35/49,573.83 = 10,561.24/x
  3. Step 3: Cross multiply
    33,047.35x = 49,573.83 × 10,561.24
  4. Step 4: Simplify right side
    33,047.35x = 523,561,116.35
  5. Step 5: Solve for x
    x = 523,561,116.35/33,047.35
  6. Step 6: Final answer
    x = 15,842.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.