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Finding the Fourth Proportional to 36,138.09, 49,868.94 and 20,006.01

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Solution

The fourth proportional to 36,138.09, 49,868.94 and 20,006.01 is: 27,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,138.09 : 49,868.94 = 20,006.01 : x
  2. Step 2: Convert to fraction form
    36,138.09/49,868.94 = 20,006.01/x
  3. Step 3: Cross multiply
    36,138.09x = 49,868.94 × 20,006.01
  4. Step 4: Simplify right side
    36,138.09x = 997,678,512.33
  5. Step 5: Solve for x
    x = 997,678,512.33/36,138.09
  6. Step 6: Final answer
    x = 27,607.39

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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.