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Finding the Fourth Proportional to 36,948.09, 50,988.38 and 20,181.09

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Solution

The fourth proportional to 36,948.09, 50,988.38 and 20,181.09 is: 27,849.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,948.09 : 50,988.38 = 20,181.09 : x
  2. Step 2: Convert to fraction form
    36,948.09/50,988.38 = 20,181.09/x
  3. Step 3: Cross multiply
    36,948.09x = 50,988.38 × 20,181.09
  4. Step 4: Simplify right side
    36,948.09x = 1,029,001,176.04
  5. Step 5: Solve for x
    x = 1,029,001,176.04/36,948.09
  6. Step 6: Final answer
    x = 27,849.91

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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.