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Finding the Fourth Proportional to 30,997, 46,664.20 and 28,241.38

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Solution

The fourth proportional to 30,997, 46,664.20 and 28,241.38 is: 42,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997 : 46,664.20 = 28,241.38 : x
  2. Step 2: Convert to fraction form
    30,997/46,664.20 = 28,241.38/x
  3. Step 3: Cross multiply
    30,997x = 46,664.20 × 28,241.38
  4. Step 4: Simplify right side
    30,997x = 1,317,861,404.60
  5. Step 5: Solve for x
    x = 1,317,861,404.60/30,997
  6. Step 6: Final answer
    x = 42,515.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.