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Finding the Fourth Proportional to 36,971.25, 51,020.33 and 20,204.25

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Solution

The fourth proportional to 36,971.25, 51,020.33 and 20,204.25 is: 27,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,971.25 : 51,020.33 = 20,204.25 : x
  2. Step 2: Convert to fraction form
    36,971.25/51,020.33 = 20,204.25/x
  3. Step 3: Cross multiply
    36,971.25x = 51,020.33 × 20,204.25
  4. Step 4: Simplify right side
    36,971.25x = 1,030,827,401.38
  5. Step 5: Solve for x
    x = 1,030,827,401.38/36,971.25
  6. Step 6: Final answer
    x = 27,881.87

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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.