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Finding the Fourth Proportional to 37,054.48, 51,136.38 and 20,287.48

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Solution

The fourth proportional to 37,054.48, 51,136.38 and 20,287.48 is: 27,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,054.48 : 51,136.38 = 20,287.48 : x
  2. Step 2: Convert to fraction form
    37,054.48/51,136.38 = 20,287.48/x
  3. Step 3: Cross multiply
    37,054.48x = 51,136.38 × 20,287.48
  4. Step 4: Simplify right side
    37,054.48x = 1,037,428,286.52
  5. Step 5: Solve for x
    x = 1,037,428,286.52/37,054.48
  6. Step 6: Final answer
    x = 27,997.38

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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.