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Finding the Fourth Proportional to 33,093.46, 49,645.66 and 13,096.99

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Solution

The fourth proportional to 33,093.46, 49,645.66 and 13,096.99 is: 19,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,093.46 : 49,645.66 = 13,096.99 : x
  2. Step 2: Convert to fraction form
    33,093.46/49,645.66 = 13,096.99/x
  3. Step 3: Cross multiply
    33,093.46x = 49,645.66 × 13,096.99
  4. Step 4: Simplify right side
    33,093.46x = 650,208,712.56
  5. Step 5: Solve for x
    x = 650,208,712.56/33,093.46
  6. Step 6: Final answer
    x = 19,647.65

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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.