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Finding the Fourth Proportional to 31,092, 42,907.05 and 16,944.54

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Solution

The fourth proportional to 31,092, 42,907.05 and 16,944.54 is: 23,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092 : 42,907.05 = 16,944.54 : x
  2. Step 2: Convert to fraction form
    31,092/42,907.05 = 16,944.54/x
  3. Step 3: Cross multiply
    31,092x = 42,907.05 × 16,944.54
  4. Step 4: Simplify right side
    31,092x = 727,040,225.01
  5. Step 5: Solve for x
    x = 727,040,225.01/31,092
  6. Step 6: Final answer
    x = 23,383.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.