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Finding the Fourth Proportional to 37,653.26, 51,963.12 and 22,548.38

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Solution

The fourth proportional to 37,653.26, 51,963.12 and 22,548.38 is: 31,117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,653.26 : 51,963.12 = 22,548.38 : x
  2. Step 2: Convert to fraction form
    37,653.26/51,963.12 = 22,548.38/x
  3. Step 3: Cross multiply
    37,653.26x = 51,963.12 × 22,548.38
  4. Step 4: Simplify right side
    37,653.26x = 1,171,683,915.93
  5. Step 5: Solve for x
    x = 1,171,683,915.93/37,653.26
  6. Step 6: Final answer
    x = 31,117.73

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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.