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Finding the Fourth Proportional to 36,156.92, 49,893.77 and 20,239.20

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Solution

The fourth proportional to 36,156.92, 49,893.77 and 20,239.20 is: 27,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,156.92 : 49,893.77 = 20,239.20 : x
  2. Step 2: Convert to fraction form
    36,156.92/49,893.77 = 20,239.20/x
  3. Step 3: Cross multiply
    36,156.92x = 49,893.77 × 20,239.20
  4. Step 4: Simplify right side
    36,156.92x = 1,009,810,040.38
  5. Step 5: Solve for x
    x = 1,009,810,040.38/36,156.92
  6. Step 6: Final answer
    x = 27,928.55

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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.