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Finding the Fourth Proportional to 30,944.25, 46,416.78 and 8,757.27

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Solution

The fourth proportional to 30,944.25, 46,416.78 and 8,757.27 is: 13,136.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,944.25 : 46,416.78 = 8,757.27 : x
  2. Step 2: Convert to fraction form
    30,944.25/46,416.78 = 8,757.27/x
  3. Step 3: Cross multiply
    30,944.25x = 46,416.78 × 8,757.27
  4. Step 4: Simplify right side
    30,944.25x = 406,484,274.99
  5. Step 5: Solve for x
    x = 406,484,274.99/30,944.25
  6. Step 6: Final answer
    x = 13,136.02

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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.