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Finding the Fourth Proportional to 38,083.83, 52,556.23 and 21,942.22

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Solution

The fourth proportional to 38,083.83, 52,556.23 and 21,942.22 is: 30,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,083.83 : 52,556.23 = 21,942.22 : x
  2. Step 2: Convert to fraction form
    38,083.83/52,556.23 = 21,942.22/x
  3. Step 3: Cross multiply
    38,083.83x = 52,556.23 × 21,942.22
  4. Step 4: Simplify right side
    38,083.83x = 1,153,200,251.32
  5. Step 5: Solve for x
    x = 1,153,200,251.32/38,083.83
  6. Step 6: Final answer
    x = 30,280.57

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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.