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Finding the Fourth Proportional to 36,111.20, 49,835.98 and 20,197.12

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Solution

The fourth proportional to 36,111.20, 49,835.98 and 20,197.12 is: 27,873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,111.20 : 49,835.98 = 20,197.12 : x
  2. Step 2: Convert to fraction form
    36,111.20/49,835.98 = 20,197.12/x
  3. Step 3: Cross multiply
    36,111.20x = 49,835.98 × 20,197.12
  4. Step 4: Simplify right side
    36,111.20x = 1,006,543,268.38
  5. Step 5: Solve for x
    x = 1,006,543,268.38/36,111.20
  6. Step 6: Final answer
    x = 27,873.44

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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.