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Finding the Fourth Proportional to 30,416.28, 45,624.66 and 8,229.84

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Solution

The fourth proportional to 30,416.28, 45,624.66 and 8,229.84 is: 12,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.28 : 45,624.66 = 8,229.84 : x
  2. Step 2: Convert to fraction form
    30,416.28/45,624.66 = 8,229.84/x
  3. Step 3: Cross multiply
    30,416.28x = 45,624.66 × 8,229.84
  4. Step 4: Simplify right side
    30,416.28x = 375,483,651.85
  5. Step 5: Solve for x
    x = 375,483,651.85/30,416.28
  6. Step 6: Final answer
    x = 12,344.82

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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.