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Finding the Fourth Proportional to 71,408.46, 107,007.10 and 67,414.45

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Solution

The fourth proportional to 71,408.46, 107,007.10 and 67,414.45 is: 101,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,408.46 : 107,007.10 = 67,414.45 : x
  2. Step 2: Convert to fraction form
    71,408.46/107,007.10 = 67,414.45/x
  3. Step 3: Cross multiply
    71,408.46x = 107,007.10 × 67,414.45
  4. Step 4: Simplify right side
    71,408.46x = 7,213,824,792.60
  5. Step 5: Solve for x
    x = 7,213,824,792.60/71,408.46
  6. Step 6: Final answer
    x = 101,021.99

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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.