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Finding the Fourth Proportional to 37,647, 51,952.86 and 20,880

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Solution

The fourth proportional to 37,647, 51,952.86 and 20,880 is: 28,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,647 : 51,952.86 = 20,880 : x
  2. Step 2: Convert to fraction form
    37,647/51,952.86 = 20,880/x
  3. Step 3: Cross multiply
    37,647x = 51,952.86 × 20,880
  4. Step 4: Simplify right side
    37,647x = 1,084,775,716.80
  5. Step 5: Solve for x
    x = 1,084,775,716.80/37,647
  6. Step 6: Final answer
    x = 28,814.40

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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.