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Finding the Fourth Proportional to 54,737.87, 82,106.29 and 17,297.94

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Solution

The fourth proportional to 54,737.87, 82,106.29 and 17,297.94 is: 25,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,737.87 : 82,106.29 = 17,297.94 : x
  2. Step 2: Convert to fraction form
    54,737.87/82,106.29 = 17,297.94/x
  3. Step 3: Cross multiply
    54,737.87x = 82,106.29 × 17,297.94
  4. Step 4: Simplify right side
    54,737.87x = 1,420,270,007.56
  5. Step 5: Solve for x
    x = 1,420,270,007.56/54,737.87
  6. Step 6: Final answer
    x = 25,946.76

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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.