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Finding the Fourth Proportional to 71,682, 106,828.50 and 67,949.52

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Solution

The fourth proportional to 71,682, 106,828.50 and 67,949.52 is: 101,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,682 : 106,828.50 = 67,949.52 : x
  2. Step 2: Convert to fraction form
    71,682/106,828.50 = 67,949.52/x
  3. Step 3: Cross multiply
    71,682x = 106,828.50 × 67,949.52
  4. Step 4: Simplify right side
    71,682x = 7,258,945,297.32
  5. Step 5: Solve for x
    x = 7,258,945,297.32/71,682
  6. Step 6: Final answer
    x = 101,265.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.