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Finding the Fourth Proportional to 41,103.76, 56,724.77 and 23,198.38

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Solution

The fourth proportional to 41,103.76, 56,724.77 and 23,198.38 is: 32,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,103.76 : 56,724.77 = 23,198.38 : x
  2. Step 2: Convert to fraction form
    41,103.76/56,724.77 = 23,198.38/x
  3. Step 3: Cross multiply
    41,103.76x = 56,724.77 × 23,198.38
  4. Step 4: Simplify right side
    41,103.76x = 1,315,922,686.06
  5. Step 5: Solve for x
    x = 1,315,922,686.06/41,103.76
  6. Step 6: Final answer
    x = 32,014.66

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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.