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Finding the Fourth Proportional to 30,500.06, 45,745.41 and 8,315.22

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Solution

The fourth proportional to 30,500.06, 45,745.41 and 8,315.22 is: 12,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,500.06 : 45,745.41 = 8,315.22 : x
  2. Step 2: Convert to fraction form
    30,500.06/45,745.41 = 8,315.22/x
  3. Step 3: Cross multiply
    30,500.06x = 45,745.41 × 8,315.22
  4. Step 4: Simplify right side
    30,500.06x = 380,383,148.14
  5. Step 5: Solve for x
    x = 380,383,148.14/30,500.06
  6. Step 6: Final answer
    x = 12,471.55

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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.