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Finding the Fourth Proportional to 32,815.22, 49,212.03 and 18,040.82

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Solution

The fourth proportional to 32,815.22, 49,212.03 and 18,040.82 is: 27,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,815.22 : 49,212.03 = 18,040.82 : x
  2. Step 2: Convert to fraction form
    32,815.22/49,212.03 = 18,040.82/x
  3. Step 3: Cross multiply
    32,815.22x = 49,212.03 × 18,040.82
  4. Step 4: Simplify right side
    32,815.22x = 887,825,375.06
  5. Step 5: Solve for x
    x = 887,825,375.06/32,815.22
  6. Step 6: Final answer
    x = 27,055.29

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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.