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Finding the Fourth Proportional to 31,524.50, 47,254.86 and 20,438.24

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Solution

The fourth proportional to 31,524.50, 47,254.86 and 20,438.24 is: 30,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.50 : 47,254.86 = 20,438.24 : x
  2. Step 2: Convert to fraction form
    31,524.50/47,254.86 = 20,438.24/x
  3. Step 3: Cross multiply
    31,524.50x = 47,254.86 × 20,438.24
  4. Step 4: Simplify right side
    31,524.50x = 965,806,169.85
  5. Step 5: Solve for x
    x = 965,806,169.85/31,524.50
  6. Step 6: Final answer
    x = 30,636.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.