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Finding the Fourth Proportional to 31,737.30, 43,782.75 and 22,311.42

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Solution

The fourth proportional to 31,737.30, 43,782.75 and 22,311.42 is: 30,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737.30 : 43,782.75 = 22,311.42 : x
  2. Step 2: Convert to fraction form
    31,737.30/43,782.75 = 22,311.42/x
  3. Step 3: Cross multiply
    31,737.30x = 43,782.75 × 22,311.42
  4. Step 4: Simplify right side
    31,737.30x = 976,855,324.01
  5. Step 5: Solve for x
    x = 976,855,324.01/31,737.30
  6. Step 6: Final answer
    x = 30,779.41

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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.