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Finding the Fourth Proportional to 30,194.52, 41,668.55 and 16,765.80

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Solution

The fourth proportional to 30,194.52, 41,668.55 and 16,765.80 is: 23,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.52 : 41,668.55 = 16,765.80 : x
  2. Step 2: Convert to fraction form
    30,194.52/41,668.55 = 16,765.80/x
  3. Step 3: Cross multiply
    30,194.52x = 41,668.55 × 16,765.80
  4. Step 4: Simplify right side
    30,194.52x = 698,606,491.76
  5. Step 5: Solve for x
    x = 698,606,491.76/30,194.52
  6. Step 6: Final answer
    x = 23,136.86

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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.