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Finding the Fourth Proportional to 34,211.40, 51,317.10 and 19,414.60

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Solution

The fourth proportional to 34,211.40, 51,317.10 and 19,414.60 is: 29,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,211.40 : 51,317.10 = 19,414.60 : x
  2. Step 2: Convert to fraction form
    34,211.40/51,317.10 = 19,414.60/x
  3. Step 3: Cross multiply
    34,211.40x = 51,317.10 × 19,414.60
  4. Step 4: Simplify right side
    34,211.40x = 996,300,969.66
  5. Step 5: Solve for x
    x = 996,300,969.66/34,211.40
  6. Step 6: Final answer
    x = 29,121.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.