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Finding the Fourth Proportional to 67,013.41, 100,367.02 and 31,977.67

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Solution

The fourth proportional to 67,013.41, 100,367.02 and 31,977.67 is: 47,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,013.41 : 100,367.02 = 31,977.67 : x
  2. Step 2: Convert to fraction form
    67,013.41/100,367.02 = 31,977.67/x
  3. Step 3: Cross multiply
    67,013.41x = 100,367.02 × 31,977.67
  4. Step 4: Simplify right side
    67,013.41x = 3,209,503,444.44
  5. Step 5: Solve for x
    x = 3,209,503,444.44/67,013.41
  6. Step 6: Final answer
    x = 47,893.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.