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Finding the Fourth Proportional to 30,214.39, 45,311.37 and 11,489.98

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Solution

The fourth proportional to 30,214.39, 45,311.37 and 11,489.98 is: 17,231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.39 : 45,311.37 = 11,489.98 : x
  2. Step 2: Convert to fraction form
    30,214.39/45,311.37 = 11,489.98/x
  3. Step 3: Cross multiply
    30,214.39x = 45,311.37 × 11,489.98
  4. Step 4: Simplify right side
    30,214.39x = 520,626,735.07
  5. Step 5: Solve for x
    x = 520,626,735.07/30,214.39
  6. Step 6: Final answer
    x = 17,231.09

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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.