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Finding the Fourth Proportional to 31,922.24, 44,007.04 and 22,461.44

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Solution

The fourth proportional to 31,922.24, 44,007.04 and 22,461.44 is: 30,964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,922.24 : 44,007.04 = 22,461.44 : x
  2. Step 2: Convert to fraction form
    31,922.24/44,007.04 = 22,461.44/x
  3. Step 3: Cross multiply
    31,922.24x = 44,007.04 × 22,461.44
  4. Step 4: Simplify right side
    31,922.24x = 988,461,488.54
  5. Step 5: Solve for x
    x = 988,461,488.54/31,922.24
  6. Step 6: Final answer
    x = 30,964.67

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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.