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Finding the Fourth Proportional to 30,814.92, 46,215.27 and 8,629.83

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Solution

The fourth proportional to 30,814.92, 46,215.27 and 8,629.83 is: 12,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814.92 : 46,215.27 = 8,629.83 : x
  2. Step 2: Convert to fraction form
    30,814.92/46,215.27 = 8,629.83/x
  3. Step 3: Cross multiply
    30,814.92x = 46,215.27 × 8,629.83
  4. Step 4: Simplify right side
    30,814.92x = 398,829,923.50
  5. Step 5: Solve for x
    x = 398,829,923.50/30,814.92
  6. Step 6: Final answer
    x = 12,942.75

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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.