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Finding the Fourth Proportional to 31,467.69, 47,200.62 and 14,818.24

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Solution

The fourth proportional to 31,467.69, 47,200.62 and 14,818.24 is: 22,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,467.69 : 47,200.62 = 14,818.24 : x
  2. Step 2: Convert to fraction form
    31,467.69/47,200.62 = 14,818.24/x
  3. Step 3: Cross multiply
    31,467.69x = 47,200.62 × 14,818.24
  4. Step 4: Simplify right side
    31,467.69x = 699,430,229.88
  5. Step 5: Solve for x
    x = 699,430,229.88/31,467.69
  6. Step 6: Final answer
    x = 22,226.93

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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.