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Finding the Fourth Proportional to 36,975.13, 51,026.93 and 20,209.21

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Solution

The fourth proportional to 36,975.13, 51,026.93 and 20,209.21 is: 27,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,975.13 : 51,026.93 = 20,209.21 : x
  2. Step 2: Convert to fraction form
    36,975.13/51,026.93 = 20,209.21/x
  3. Step 3: Cross multiply
    36,975.13x = 51,026.93 × 20,209.21
  4. Step 4: Simplify right side
    36,975.13x = 1,031,213,944.03
  5. Step 5: Solve for x
    x = 1,031,213,944.03/36,975.13
  6. Step 6: Final answer
    x = 27,889.39

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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.