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Finding the Fourth Proportional to 30,202.50, 45,310.23 and 11,734.50

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Solution

The fourth proportional to 30,202.50, 45,310.23 and 11,734.50 is: 17,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.50 : 45,310.23 = 11,734.50 : x
  2. Step 2: Convert to fraction form
    30,202.50/45,310.23 = 11,734.50/x
  3. Step 3: Cross multiply
    30,202.50x = 45,310.23 × 11,734.50
  4. Step 4: Simplify right side
    30,202.50x = 531,692,893.94
  5. Step 5: Solve for x
    x = 531,692,893.94/30,202.50
  6. Step 6: Final answer
    x = 17,604.27

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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.