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Finding the Fourth Proportional to 37,204, 55,758.54 and 17,439.01

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Solution

The fourth proportional to 37,204, 55,758.54 and 17,439.01 is: 26,136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,204 : 55,758.54 = 17,439.01 : x
  2. Step 2: Convert to fraction form
    37,204/55,758.54 = 17,439.01/x
  3. Step 3: Cross multiply
    37,204x = 55,758.54 × 17,439.01
  4. Step 4: Simplify right side
    37,204x = 972,373,736.65
  5. Step 5: Solve for x
    x = 972,373,736.65/37,204
  6. Step 6: Final answer
    x = 26,136.27

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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.