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Finding the Fourth Proportional to 37,914.47, 52,321.97 and 21,147.47

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Solution

The fourth proportional to 37,914.47, 52,321.97 and 21,147.47 is: 29,183.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,914.47 : 52,321.97 = 21,147.47 : x
  2. Step 2: Convert to fraction form
    37,914.47/52,321.97 = 21,147.47/x
  3. Step 3: Cross multiply
    37,914.47x = 52,321.97 × 21,147.47
  4. Step 4: Simplify right side
    37,914.47x = 1,106,477,278.38
  5. Step 5: Solve for x
    x = 1,106,477,278.38/37,914.47
  6. Step 6: Final answer
    x = 29,183.51

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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.