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Finding the Fourth Proportional to 31,794.27, 47,688.64 and 12,072.98

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Solution

The fourth proportional to 31,794.27, 47,688.64 and 12,072.98 is: 18,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.27 : 47,688.64 = 12,072.98 : x
  2. Step 2: Convert to fraction form
    31,794.27/47,688.64 = 12,072.98/x
  3. Step 3: Cross multiply
    31,794.27x = 47,688.64 × 12,072.98
  4. Step 4: Simplify right side
    31,794.27x = 575,743,728.32
  5. Step 5: Solve for x
    x = 575,743,728.32/31,794.27
  6. Step 6: Final answer
    x = 18,108.41

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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.