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Finding the Fourth Proportional to 39,942.96, 55,122.34 and 22,038.20

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Solution

The fourth proportional to 39,942.96, 55,122.34 and 22,038.20 is: 30,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,942.96 : 55,122.34 = 22,038.20 : x
  2. Step 2: Convert to fraction form
    39,942.96/55,122.34 = 22,038.20/x
  3. Step 3: Cross multiply
    39,942.96x = 55,122.34 × 22,038.20
  4. Step 4: Simplify right side
    39,942.96x = 1,214,797,153.39
  5. Step 5: Solve for x
    x = 1,214,797,153.39/39,942.96
  6. Step 6: Final answer
    x = 30,413.30

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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.