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Finding the Fourth Proportional to 49,469.65, 74,211.46 and 16,192.42

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Solution

The fourth proportional to 49,469.65, 74,211.46 and 16,192.42 is: 24,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,469.65 : 74,211.46 = 16,192.42 : x
  2. Step 2: Convert to fraction form
    49,469.65/74,211.46 = 16,192.42/x
  3. Step 3: Cross multiply
    49,469.65x = 74,211.46 × 16,192.42
  4. Step 4: Simplify right side
    49,469.65x = 1,201,662,903.12
  5. Step 5: Solve for x
    x = 1,201,662,903.12/49,469.65
  6. Step 6: Final answer
    x = 24,290.91

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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.