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Finding the Fourth Proportional to 30,814.14, 46,221.21 and 8,630.81

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Solution

The fourth proportional to 30,814.14, 46,221.21 and 8,630.81 is: 12,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814.14 : 46,221.21 = 8,630.81 : x
  2. Step 2: Convert to fraction form
    30,814.14/46,221.21 = 8,630.81/x
  3. Step 3: Cross multiply
    30,814.14x = 46,221.21 × 8,630.81
  4. Step 4: Simplify right side
    30,814.14x = 398,926,481.48
  5. Step 5: Solve for x
    x = 398,926,481.48/30,814.14
  6. Step 6: Final answer
    x = 12,946.22

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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.