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Finding the Fourth Proportional to 36,024.90, 49,709.22 and 20,109

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Solution

The fourth proportional to 36,024.90, 49,709.22 and 20,109 is: 27,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,024.90 : 49,709.22 = 20,109 : x
  2. Step 2: Convert to fraction form
    36,024.90/49,709.22 = 20,109/x
  3. Step 3: Cross multiply
    36,024.90x = 49,709.22 × 20,109
  4. Step 4: Simplify right side
    36,024.90x = 999,602,704.98
  5. Step 5: Solve for x
    x = 999,602,704.98/36,024.90
  6. Step 6: Final answer
    x = 27,747.55

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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.