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Finding the Fourth Proportional to 36,010.71, 49,694.70 and 20,094.21

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Solution

The fourth proportional to 36,010.71, 49,694.70 and 20,094.21 is: 27,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,010.71 : 49,694.70 = 20,094.21 : x
  2. Step 2: Convert to fraction form
    36,010.71/49,694.70 = 20,094.21/x
  3. Step 3: Cross multiply
    36,010.71x = 49,694.70 × 20,094.21
  4. Step 4: Simplify right side
    36,010.71x = 998,575,489.21
  5. Step 5: Solve for x
    x = 998,575,489.21/36,010.71
  6. Step 6: Final answer
    x = 27,729.96

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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.