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Finding the Fourth Proportional to 36,021.60, 49,709.87 and 20,106.05

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Solution

The fourth proportional to 36,021.60, 49,709.87 and 20,106.05 is: 27,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,021.60 : 49,709.87 = 20,106.05 : x
  2. Step 2: Convert to fraction form
    36,021.60/49,709.87 = 20,106.05/x
  3. Step 3: Cross multiply
    36,021.60x = 49,709.87 × 20,106.05
  4. Step 4: Simplify right side
    36,021.60x = 999,469,131.71
  5. Step 5: Solve for x
    x = 999,469,131.71/36,021.60
  6. Step 6: Final answer
    x = 27,746.38

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Why These Related Problems?

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