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Finding the Fourth Proportional to 30,222.68, 45,282.84 and 18,511.44

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Solution

The fourth proportional to 30,222.68, 45,282.84 and 18,511.44 is: 27,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,222.68 : 45,282.84 = 18,511.44 : x
  2. Step 2: Convert to fraction form
    30,222.68/45,282.84 = 18,511.44/x
  3. Step 3: Cross multiply
    30,222.68x = 45,282.84 × 18,511.44
  4. Step 4: Simplify right side
    30,222.68x = 838,250,575.69
  5. Step 5: Solve for x
    x = 838,250,575.69/30,222.68
  6. Step 6: Final answer
    x = 27,735.81

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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.