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Finding the Fourth Proportional to 31,576.47, 47,339.54 and 18,234.32

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Solution

The fourth proportional to 31,576.47, 47,339.54 and 18,234.32 is: 27,336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,576.47 : 47,339.54 = 18,234.32 : x
  2. Step 2: Convert to fraction form
    31,576.47/47,339.54 = 18,234.32/x
  3. Step 3: Cross multiply
    31,576.47x = 47,339.54 × 18,234.32
  4. Step 4: Simplify right side
    31,576.47x = 863,204,321.01
  5. Step 5: Solve for x
    x = 863,204,321.01/31,576.47
  6. Step 6: Final answer
    x = 27,336.95

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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.