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Finding the Fourth Proportional to 30,055.38, 41,462.46 and 19,448.44

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Solution

The fourth proportional to 30,055.38, 41,462.46 and 19,448.44 is: 26,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,055.38 : 41,462.46 = 19,448.44 : x
  2. Step 2: Convert to fraction form
    30,055.38/41,462.46 = 19,448.44/x
  3. Step 3: Cross multiply
    30,055.38x = 41,462.46 × 19,448.44
  4. Step 4: Simplify right side
    30,055.38x = 806,380,165.56
  5. Step 5: Solve for x
    x = 806,380,165.56/30,055.38
  6. Step 6: Final answer
    x = 26,829.81

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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.