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Finding the Fourth Proportional to 34,103.84, 51,163.04 and 16,583.54

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Solution

The fourth proportional to 34,103.84, 51,163.04 and 16,583.54 is: 24,878.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,103.84 : 51,163.04 = 16,583.54 : x
  2. Step 2: Convert to fraction form
    34,103.84/51,163.04 = 16,583.54/x
  3. Step 3: Cross multiply
    34,103.84x = 51,163.04 × 16,583.54
  4. Step 4: Simplify right side
    34,103.84x = 848,464,106.01
  5. Step 5: Solve for x
    x = 848,464,106.01/34,103.84
  6. Step 6: Final answer
    x = 24,878.85

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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.