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Finding the Fourth Proportional to 37,143.33, 51,257.36 and 20,147.27

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Solution

The fourth proportional to 37,143.33, 51,257.36 and 20,147.27 is: 27,802.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,143.33 : 51,257.36 = 20,147.27 : x
  2. Step 2: Convert to fraction form
    37,143.33/51,257.36 = 20,147.27/x
  3. Step 3: Cross multiply
    37,143.33x = 51,257.36 × 20,147.27
  4. Step 4: Simplify right side
    37,143.33x = 1,032,695,514.38
  5. Step 5: Solve for x
    x = 1,032,695,514.38/37,143.33
  6. Step 6: Final answer
    x = 27,802.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.