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Finding the Fourth Proportional to 31,583.40, 47,371.43 and 8,211.66

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Solution

The fourth proportional to 31,583.40, 47,371.43 and 8,211.66 is: 12,316.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,583.40 : 47,371.43 = 8,211.66 : x
  2. Step 2: Convert to fraction form
    31,583.40/47,371.43 = 8,211.66/x
  3. Step 3: Cross multiply
    31,583.40x = 47,371.43 × 8,211.66
  4. Step 4: Simplify right side
    31,583.40x = 388,998,035.82
  5. Step 5: Solve for x
    x = 388,998,035.82/31,583.40
  6. Step 6: Final answer
    x = 12,316.53

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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.