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Finding the Fourth Proportional to 36,242.84, 54,363.54 and 20,627

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Solution

The fourth proportional to 36,242.84, 54,363.54 and 20,627 is: 30,940.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,242.84 : 54,363.54 = 20,627 : x
  2. Step 2: Convert to fraction form
    36,242.84/54,363.54 = 20,627/x
  3. Step 3: Cross multiply
    36,242.84x = 54,363.54 × 20,627
  4. Step 4: Simplify right side
    36,242.84x = 1,121,356,739.58
  5. Step 5: Solve for x
    x = 1,121,356,739.58/36,242.84
  6. Step 6: Final answer
    x = 30,940.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.