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Finding the Fourth Proportional to 39,920.20, 55,090.26 and 22,015.84

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Solution

The fourth proportional to 39,920.20, 55,090.26 and 22,015.84 is: 30,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,920.20 : 55,090.26 = 22,015.84 : x
  2. Step 2: Convert to fraction form
    39,920.20/55,090.26 = 22,015.84/x
  3. Step 3: Cross multiply
    39,920.20x = 55,090.26 × 22,015.84
  4. Step 4: Simplify right side
    39,920.20x = 1,212,858,349.72
  5. Step 5: Solve for x
    x = 1,212,858,349.72/39,920.20
  6. Step 6: Final answer
    x = 30,382.07

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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.