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Finding the Fourth Proportional to 36,223.14, 49,987.03 and 20,090.38

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Solution

The fourth proportional to 36,223.14, 49,987.03 and 20,090.38 is: 27,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,223.14 : 49,987.03 = 20,090.38 : x
  2. Step 2: Convert to fraction form
    36,223.14/49,987.03 = 20,090.38/x
  3. Step 3: Cross multiply
    36,223.14x = 49,987.03 × 20,090.38
  4. Step 4: Simplify right side
    36,223.14x = 1,004,258,427.77
  5. Step 5: Solve for x
    x = 1,004,258,427.77/36,223.14
  6. Step 6: Final answer
    x = 27,724.22

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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.