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Finding the Fourth Proportional to 36,995.84, 51,054 and 20,228.88

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Solution

The fourth proportional to 36,995.84, 51,054 and 20,228.88 is: 27,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,995.84 : 51,054 = 20,228.88 : x
  2. Step 2: Convert to fraction form
    36,995.84/51,054 = 20,228.88/x
  3. Step 3: Cross multiply
    36,995.84x = 51,054 × 20,228.88
  4. Step 4: Simplify right side
    36,995.84x = 1,032,765,239.52
  5. Step 5: Solve for x
    x = 1,032,765,239.52/36,995.84
  6. Step 6: Final answer
    x = 27,915.71

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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.