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Finding the Fourth Proportional to 36,985.75, 51,040.34 and 20,218.75

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Solution

The fourth proportional to 36,985.75, 51,040.34 and 20,218.75 is: 27,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,985.75 : 51,040.34 = 20,218.75 : x
  2. Step 2: Convert to fraction form
    36,985.75/51,040.34 = 20,218.75/x
  3. Step 3: Cross multiply
    36,985.75x = 51,040.34 × 20,218.75
  4. Step 4: Simplify right side
    36,985.75x = 1,031,971,874.38
  5. Step 5: Solve for x
    x = 1,031,971,874.38/36,985.75
  6. Step 6: Final answer
    x = 27,901.88

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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.