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Finding the Fourth Proportional to 30,824.53, 46,233.17 and 8,639.69

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Solution

The fourth proportional to 30,824.53, 46,233.17 and 8,639.69 is: 12,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824.53 : 46,233.17 = 8,639.69 : x
  2. Step 2: Convert to fraction form
    30,824.53/46,233.17 = 8,639.69/x
  3. Step 3: Cross multiply
    30,824.53x = 46,233.17 × 8,639.69
  4. Step 4: Simplify right side
    30,824.53x = 399,439,982.15
  5. Step 5: Solve for x
    x = 399,439,982.15/30,824.53
  6. Step 6: Final answer
    x = 12,958.51

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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.