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Finding the Fourth Proportional to 39,917.56, 55,086.54 and 22,013.20

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Solution

The fourth proportional to 39,917.56, 55,086.54 and 22,013.20 is: 30,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,917.56 : 55,086.54 = 22,013.20 : x
  2. Step 2: Convert to fraction form
    39,917.56/55,086.54 = 22,013.20/x
  3. Step 3: Cross multiply
    39,917.56x = 55,086.54 × 22,013.20
  4. Step 4: Simplify right side
    39,917.56x = 1,212,631,022.33
  5. Step 5: Solve for x
    x = 1,212,631,022.33/39,917.56
  6. Step 6: Final answer
    x = 30,378.39

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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.