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Finding the Fourth Proportional to 37,846.80, 56,795.80 and 21,206.80

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Solution

The fourth proportional to 37,846.80, 56,795.80 and 21,206.80 is: 31,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,846.80 : 56,795.80 = 21,206.80 : x
  2. Step 2: Convert to fraction form
    37,846.80/56,795.80 = 21,206.80/x
  3. Step 3: Cross multiply
    37,846.80x = 56,795.80 × 21,206.80
  4. Step 4: Simplify right side
    37,846.80x = 1,204,457,171.44
  5. Step 5: Solve for x
    x = 1,204,457,171.44/37,846.80
  6. Step 6: Final answer
    x = 31,824.54

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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.