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Finding the Fourth Proportional to 31,644.80, 47,380.73 and 22,769

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Solution

The fourth proportional to 31,644.80, 47,380.73 and 22,769 is: 34,091.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644.80 : 47,380.73 = 22,769 : x
  2. Step 2: Convert to fraction form
    31,644.80/47,380.73 = 22,769/x
  3. Step 3: Cross multiply
    31,644.80x = 47,380.73 × 22,769
  4. Step 4: Simplify right side
    31,644.80x = 1,078,811,841.37
  5. Step 5: Solve for x
    x = 1,078,811,841.37/31,644.80
  6. Step 6: Final answer
    x = 34,091.28

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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.