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Finding the Fourth Proportional to 31,049.37, 42,846.89 and 16,902.23

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Solution

The fourth proportional to 31,049.37, 42,846.89 and 16,902.23 is: 23,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.37 : 42,846.89 = 16,902.23 : x
  2. Step 2: Convert to fraction form
    31,049.37/42,846.89 = 16,902.23/x
  3. Step 3: Cross multiply
    31,049.37x = 42,846.89 × 16,902.23
  4. Step 4: Simplify right side
    31,049.37x = 724,207,690.82
  5. Step 5: Solve for x
    x = 724,207,690.82/31,049.37
  6. Step 6: Final answer
    x = 23,324.39

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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.