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Finding the Fourth Proportional to 71,294.36, 106,885.50 and 35,737.85

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Solution

The fourth proportional to 71,294.36, 106,885.50 and 35,737.85 is: 53,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,294.36 : 106,885.50 = 35,737.85 : x
  2. Step 2: Convert to fraction form
    71,294.36/106,885.50 = 35,737.85/x
  3. Step 3: Cross multiply
    71,294.36x = 106,885.50 × 35,737.85
  4. Step 4: Simplify right side
    71,294.36x = 3,819,857,431.75
  5. Step 5: Solve for x
    x = 3,819,857,431.75/71,294.36
  6. Step 6: Final answer
    x = 53,578.68

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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.