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Finding the Fourth Proportional to 31,524.56, 47,254.94 and 20,438.30

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Solution

The fourth proportional to 31,524.56, 47,254.94 and 20,438.30 is: 30,636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.56 : 47,254.94 = 20,438.30 : x
  2. Step 2: Convert to fraction form
    31,524.56/47,254.94 = 20,438.30/x
  3. Step 3: Cross multiply
    31,524.56x = 47,254.94 × 20,438.30
  4. Step 4: Simplify right side
    31,524.56x = 965,810,301.74
  5. Step 5: Solve for x
    x = 965,810,301.74/31,524.56
  6. Step 6: Final answer
    x = 30,636.76

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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.