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Finding the Fourth Proportional to 30,194.40, 41,668.65 and 16,766.49

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Solution

The fourth proportional to 30,194.40, 41,668.65 and 16,766.49 is: 23,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.40 : 41,668.65 = 16,766.49 : x
  2. Step 2: Convert to fraction form
    30,194.40/41,668.65 = 16,766.49/x
  3. Step 3: Cross multiply
    30,194.40x = 41,668.65 × 16,766.49
  4. Step 4: Simplify right side
    30,194.40x = 698,637,003.54
  5. Step 5: Solve for x
    x = 698,637,003.54/30,194.40
  6. Step 6: Final answer
    x = 23,137.97

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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.