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Finding the Fourth Proportional to 55,198.37, 76,161.89 and 31,323.17

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Solution

The fourth proportional to 55,198.37, 76,161.89 and 31,323.17 is: 43,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,198.37 : 76,161.89 = 31,323.17 : x
  2. Step 2: Convert to fraction form
    55,198.37/76,161.89 = 31,323.17/x
  3. Step 3: Cross multiply
    55,198.37x = 76,161.89 × 31,323.17
  4. Step 4: Simplify right side
    55,198.37x = 2,385,631,671.38
  5. Step 5: Solve for x
    x = 2,385,631,671.38/55,198.37
  6. Step 6: Final answer
    x = 43,219.24

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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.