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Finding the Fourth Proportional to 30,499.90, 45,745.12 and 8,315.07

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Solution

The fourth proportional to 30,499.90, 45,745.12 and 8,315.07 is: 12,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,499.90 : 45,745.12 = 8,315.07 : x
  2. Step 2: Convert to fraction form
    30,499.90/45,745.12 = 8,315.07/x
  3. Step 3: Cross multiply
    30,499.90x = 45,745.12 × 8,315.07
  4. Step 4: Simplify right side
    30,499.90x = 380,373,874.96
  5. Step 5: Solve for x
    x = 380,373,874.96/30,499.90
  6. Step 6: Final answer
    x = 12,471.32

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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.