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Finding the Fourth Proportional to 36,047.38, 49,746.15 and 20,131.84

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Solution

The fourth proportional to 36,047.38, 49,746.15 and 20,131.84 is: 27,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,047.38 : 49,746.15 = 20,131.84 : x
  2. Step 2: Convert to fraction form
    36,047.38/49,746.15 = 20,131.84/x
  3. Step 3: Cross multiply
    36,047.38x = 49,746.15 × 20,131.84
  4. Step 4: Simplify right side
    36,047.38x = 1,001,481,594.60
  5. Step 5: Solve for x
    x = 1,001,481,594.60/36,047.38
  6. Step 6: Final answer
    x = 27,782.37

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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.