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Finding the Fourth Proportional to 34,766.24, 47,964.84 and 22,836

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Solution

The fourth proportional to 34,766.24, 47,964.84 and 22,836 is: 31,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,766.24 : 47,964.84 = 22,836 : x
  2. Step 2: Convert to fraction form
    34,766.24/47,964.84 = 22,836/x
  3. Step 3: Cross multiply
    34,766.24x = 47,964.84 × 22,836
  4. Step 4: Simplify right side
    34,766.24x = 1,095,325,086.24
  5. Step 5: Solve for x
    x = 1,095,325,086.24/34,766.24
  6. Step 6: Final answer
    x = 31,505.42

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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.