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Finding the Fourth Proportional to 37,786.78, 51,926.87 and 36,052.30

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Solution

The fourth proportional to 37,786.78, 51,926.87 and 36,052.30 is: 49,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,786.78 : 51,926.87 = 36,052.30 : x
  2. Step 2: Convert to fraction form
    37,786.78/51,926.87 = 36,052.30/x
  3. Step 3: Cross multiply
    37,786.78x = 51,926.87 × 36,052.30
  4. Step 4: Simplify right side
    37,786.78x = 1,872,083,095.30
  5. Step 5: Solve for x
    x = 1,872,083,095.30/37,786.78
  6. Step 6: Final answer
    x = 49,543.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.