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Finding the Fourth Proportional to 34,414.53, 47,497.59 and 20,267.37

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Solution

The fourth proportional to 34,414.53, 47,497.59 and 20,267.37 is: 27,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.53 : 47,497.59 = 20,267.37 : x
  2. Step 2: Convert to fraction form
    34,414.53/47,497.59 = 20,267.37/x
  3. Step 3: Cross multiply
    34,414.53x = 47,497.59 × 20,267.37
  4. Step 4: Simplify right side
    34,414.53x = 962,651,230.64
  5. Step 5: Solve for x
    x = 962,651,230.64/34,414.53
  6. Step 6: Final answer
    x = 27,972.23

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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.