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Finding the Fourth Proportional to 30,982.05, 46,473.23 and 7,608.49

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Solution

The fourth proportional to 30,982.05, 46,473.23 and 7,608.49 is: 11,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.05 : 46,473.23 = 7,608.49 : x
  2. Step 2: Convert to fraction form
    30,982.05/46,473.23 = 7,608.49/x
  3. Step 3: Cross multiply
    30,982.05x = 46,473.23 × 7,608.49
  4. Step 4: Simplify right side
    30,982.05x = 353,591,105.72
  5. Step 5: Solve for x
    x = 353,591,105.72/30,982.05
  6. Step 6: Final answer
    x = 11,412.77

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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.