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Finding the Fourth Proportional to 36,019.78, 49,705.28 and 20,105.26

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Solution

The fourth proportional to 36,019.78, 49,705.28 and 20,105.26 is: 27,744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,019.78 : 49,705.28 = 20,105.26 : x
  2. Step 2: Convert to fraction form
    36,019.78/49,705.28 = 20,105.26/x
  3. Step 3: Cross multiply
    36,019.78x = 49,705.28 × 20,105.26
  4. Step 4: Simplify right side
    36,019.78x = 999,337,428.38
  5. Step 5: Solve for x
    x = 999,337,428.38/36,019.78
  6. Step 6: Final answer
    x = 27,744.13

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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.