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Finding the Fourth Proportional to 31,092.46, 42,906.34 and 16,945

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Solution

The fourth proportional to 31,092.46, 42,906.34 and 16,945 is: 23,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.46 : 42,906.34 = 16,945 : x
  2. Step 2: Convert to fraction form
    31,092.46/42,906.34 = 16,945/x
  3. Step 3: Cross multiply
    31,092.46x = 42,906.34 × 16,945
  4. Step 4: Simplify right side
    31,092.46x = 727,047,931.30
  5. Step 5: Solve for x
    x = 727,047,931.30/31,092.46
  6. Step 6: Final answer
    x = 23,383.42

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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.