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Finding the Fourth Proportional to 31,391.34, 47,087.02 and 8,017.78

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Solution

The fourth proportional to 31,391.34, 47,087.02 and 8,017.78 is: 12,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,391.34 : 47,087.02 = 8,017.78 : x
  2. Step 2: Convert to fraction form
    31,391.34/47,087.02 = 8,017.78/x
  3. Step 3: Cross multiply
    31,391.34x = 47,087.02 × 8,017.78
  4. Step 4: Simplify right side
    31,391.34x = 377,533,367.22
  5. Step 5: Solve for x
    x = 377,533,367.22/31,391.34
  6. Step 6: Final answer
    x = 12,026.67

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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.