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Finding the Fourth Proportional to 36,023.88, 49,708.36 and 20,109

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Solution

The fourth proportional to 36,023.88, 49,708.36 and 20,109 is: 27,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,023.88 : 49,708.36 = 20,109 : x
  2. Step 2: Convert to fraction form
    36,023.88/49,708.36 = 20,109/x
  3. Step 3: Cross multiply
    36,023.88x = 49,708.36 × 20,109
  4. Step 4: Simplify right side
    36,023.88x = 999,585,411.24
  5. Step 5: Solve for x
    x = 999,585,411.24/36,023.88
  6. Step 6: Final answer
    x = 27,747.86

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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.