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Finding the Fourth Proportional to 36,971.88, 51,021.21 and 20,204.88

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Solution

The fourth proportional to 36,971.88, 51,021.21 and 20,204.88 is: 27,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,971.88 : 51,021.21 = 20,204.88 : x
  2. Step 2: Convert to fraction form
    36,971.88/51,021.21 = 20,204.88/x
  3. Step 3: Cross multiply
    36,971.88x = 51,021.21 × 20,204.88
  4. Step 4: Simplify right side
    36,971.88x = 1,030,877,425.50
  5. Step 5: Solve for x
    x = 1,030,877,425.50/36,971.88
  6. Step 6: Final answer
    x = 27,882.74

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1.5x scale

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.