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Finding the Fourth Proportional to 30,200.30, 41,674.76 and 16,770.71

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Solution

The fourth proportional to 30,200.30, 41,674.76 and 16,770.71 is: 23,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.30 : 41,674.76 = 16,770.71 : x
  2. Step 2: Convert to fraction form
    30,200.30/41,674.76 = 16,770.71/x
  3. Step 3: Cross multiply
    30,200.30x = 41,674.76 × 16,770.71
  4. Step 4: Simplify right side
    30,200.30x = 698,915,105.91
  5. Step 5: Solve for x
    x = 698,915,105.91/30,200.30
  6. Step 6: Final answer
    x = 23,142.65

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