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Finding the Fourth Proportional to 36,154.26, 49,896 and 20,238.48

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Solution

The fourth proportional to 36,154.26, 49,896 and 20,238.48 is: 27,930.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,154.26 : 49,896 = 20,238.48 : x
  2. Step 2: Convert to fraction form
    36,154.26/49,896 = 20,238.48/x
  3. Step 3: Cross multiply
    36,154.26x = 49,896 × 20,238.48
  4. Step 4: Simplify right side
    36,154.26x = 1,009,819,198.08
  5. Step 5: Solve for x
    x = 1,009,819,198.08/36,154.26
  6. Step 6: Final answer
    x = 27,930.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.