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Finding the Fourth Proportional to 36,021.40, 49,711.35 and 20,105.98

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Solution

The fourth proportional to 36,021.40, 49,711.35 and 20,105.98 is: 27,747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,021.40 : 49,711.35 = 20,105.98 : x
  2. Step 2: Convert to fraction form
    36,021.40/49,711.35 = 20,105.98/x
  3. Step 3: Cross multiply
    36,021.40x = 49,711.35 × 20,105.98
  4. Step 4: Simplify right side
    36,021.40x = 999,495,408.87
  5. Step 5: Solve for x
    x = 999,495,408.87/36,021.40
  6. Step 6: Final answer
    x = 27,747.27

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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.