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Finding the Fourth Proportional to 30,806.96, 46,205.36 and 11,081.84

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Solution

The fourth proportional to 30,806.96, 46,205.36 and 11,081.84 is: 16,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.96 : 46,205.36 = 11,081.84 : x
  2. Step 2: Convert to fraction form
    30,806.96/46,205.36 = 11,081.84/x
  3. Step 3: Cross multiply
    30,806.96x = 46,205.36 × 11,081.84
  4. Step 4: Simplify right side
    30,806.96x = 512,040,406.66
  5. Step 5: Solve for x
    x = 512,040,406.66/30,806.96
  6. Step 6: Final answer
    x = 16,620.93

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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.