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Finding the Fourth Proportional to 36,019.46, 49,709.67 and 20,106.30

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Solution

The fourth proportional to 36,019.46, 49,709.67 and 20,106.30 is: 27,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,019.46 : 49,709.67 = 20,106.30 : x
  2. Step 2: Convert to fraction form
    36,019.46/49,709.67 = 20,106.30/x
  3. Step 3: Cross multiply
    36,019.46x = 49,709.67 × 20,106.30
  4. Step 4: Simplify right side
    36,019.46x = 999,477,537.92
  5. Step 5: Solve for x
    x = 999,477,537.92/36,019.46
  6. Step 6: Final answer
    x = 27,748.27

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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.