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Finding the Fourth Proportional to 31,092.84, 42,906.87 and 16,945.38

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Solution

The fourth proportional to 31,092.84, 42,906.87 and 16,945.38 is: 23,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.84 : 42,906.87 = 16,945.38 : x
  2. Step 2: Convert to fraction form
    31,092.84/42,906.87 = 16,945.38/x
  3. Step 3: Cross multiply
    31,092.84x = 42,906.87 × 16,945.38
  4. Step 4: Simplify right side
    31,092.84x = 727,073,216.76
  5. Step 5: Solve for x
    x = 727,073,216.76/31,092.84
  6. Step 6: Final answer
    x = 23,383.94

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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.