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Finding the Fourth Proportional to 31,760.16, 43,809 and 20,444.44

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Solution

The fourth proportional to 31,760.16, 43,809 and 20,444.44 is: 28,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,760.16 : 43,809 = 20,444.44 : x
  2. Step 2: Convert to fraction form
    31,760.16/43,809 = 20,444.44/x
  3. Step 3: Cross multiply
    31,760.16x = 43,809 × 20,444.44
  4. Step 4: Simplify right side
    31,760.16x = 895,650,471.96
  5. Step 5: Solve for x
    x = 895,650,471.96/31,760.16
  6. Step 6: Final answer
    x = 28,200.44

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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.