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Finding the Fourth Proportional to 36,090.54, 49,804.80 and 20,174.98

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Solution

The fourth proportional to 36,090.54, 49,804.80 and 20,174.98 is: 27,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,090.54 : 49,804.80 = 20,174.98 : x
  2. Step 2: Convert to fraction form
    36,090.54/49,804.80 = 20,174.98/x
  3. Step 3: Cross multiply
    36,090.54x = 49,804.80 × 20,174.98
  4. Step 4: Simplify right side
    36,090.54x = 1,004,810,843.90
  5. Step 5: Solve for x
    x = 1,004,810,843.90/36,090.54
  6. Step 6: Final answer
    x = 27,841.39

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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.