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Finding the Fourth Proportional to 37,568.38, 51,844.37 and 21,653.86

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Solution

The fourth proportional to 37,568.38, 51,844.37 and 21,653.86 is: 29,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,568.38 : 51,844.37 = 21,653.86 : x
  2. Step 2: Convert to fraction form
    37,568.38/51,844.37 = 21,653.86/x
  3. Step 3: Cross multiply
    37,568.38x = 51,844.37 × 21,653.86
  4. Step 4: Simplify right side
    37,568.38x = 1,122,630,729.77
  5. Step 5: Solve for x
    x = 1,122,630,729.77/37,568.38
  6. Step 6: Final answer
    x = 29,882.33

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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.