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Finding the Fourth Proportional to 30,200.75, 41,677.05 and 16,774.19

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Solution

The fourth proportional to 30,200.75, 41,677.05 and 16,774.19 is: 23,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.75 : 41,677.05 = 16,774.19 : x
  2. Step 2: Convert to fraction form
    30,200.75/41,677.05 = 16,774.19/x
  3. Step 3: Cross multiply
    30,200.75x = 41,677.05 × 16,774.19
  4. Step 4: Simplify right side
    30,200.75x = 699,098,755.34
  5. Step 5: Solve for x
    x = 699,098,755.34/30,200.75
  6. Step 6: Final answer
    x = 23,148.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.