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Finding the Fourth Proportional to 30,194.34, 41,668.68 and 16,766.46

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Solution

The fourth proportional to 30,194.34, 41,668.68 and 16,766.46 is: 23,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.34 : 41,668.68 = 16,766.46 : x
  2. Step 2: Convert to fraction form
    30,194.34/41,668.68 = 16,766.46/x
  3. Step 3: Cross multiply
    30,194.34x = 41,668.68 × 16,766.46
  4. Step 4: Simplify right side
    30,194.34x = 698,636,256.47
  5. Step 5: Solve for x
    x = 698,636,256.47/30,194.34
  6. Step 6: Final answer
    x = 23,137.99

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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.