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Finding the Fourth Proportional to 30,909, 46,361.34 and 16,126.26

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Solution

The fourth proportional to 30,909, 46,361.34 and 16,126.26 is: 24,188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909 : 46,361.34 = 16,126.26 : x
  2. Step 2: Convert to fraction form
    30,909/46,361.34 = 16,126.26/x
  3. Step 3: Cross multiply
    30,909x = 46,361.34 × 16,126.26
  4. Step 4: Simplify right side
    30,909x = 747,635,022.79
  5. Step 5: Solve for x
    x = 747,635,022.79/30,909
  6. Step 6: Final answer
    x = 24,188.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.