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Finding the Fourth Proportional to 29,946.57, 41,321.11 and 19,200.84

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Solution

The fourth proportional to 29,946.57, 41,321.11 and 19,200.84 is: 26,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,946.57 : 41,321.11 = 19,200.84 : x
  2. Step 2: Convert to fraction form
    29,946.57/41,321.11 = 19,200.84/x
  3. Step 3: Cross multiply
    29,946.57x = 41,321.11 × 19,200.84
  4. Step 4: Simplify right side
    29,946.57x = 793,400,021.73
  5. Step 5: Solve for x
    x = 793,400,021.73/29,946.57
  6. Step 6: Final answer
    x = 26,493.85

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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.