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Finding the Fourth Proportional to 41,098.86, 56,716.38 and 22,236

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Solution

The fourth proportional to 41,098.86, 56,716.38 and 22,236 is: 30,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,098.86 : 56,716.38 = 22,236 : x
  2. Step 2: Convert to fraction form
    41,098.86/56,716.38 = 22,236/x
  3. Step 3: Cross multiply
    41,098.86x = 56,716.38 × 22,236
  4. Step 4: Simplify right side
    41,098.86x = 1,261,145,425.68
  5. Step 5: Solve for x
    x = 1,261,145,425.68/41,098.86
  6. Step 6: Final answer
    x = 30,685.65

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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.