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Finding the Fourth Proportional to 37,224.44, 51,369.93 and 20,228.82

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Solution

The fourth proportional to 37,224.44, 51,369.93 and 20,228.82 is: 27,915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,224.44 : 51,369.93 = 20,228.82 : x
  2. Step 2: Convert to fraction form
    37,224.44/51,369.93 = 20,228.82/x
  3. Step 3: Cross multiply
    37,224.44x = 51,369.93 × 20,228.82
  4. Step 4: Simplify right side
    37,224.44x = 1,039,153,067.38
  5. Step 5: Solve for x
    x = 1,039,153,067.38/37,224.44
  6. Step 6: Final answer
    x = 27,915.89

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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.