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Finding the Fourth Proportional to 31,147, 42,982.90 and 19,969

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Solution

The fourth proportional to 31,147, 42,982.90 and 19,969 is: 27,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,147 : 42,982.90 = 19,969 : x
  2. Step 2: Convert to fraction form
    31,147/42,982.90 = 19,969/x
  3. Step 3: Cross multiply
    31,147x = 42,982.90 × 19,969
  4. Step 4: Simplify right side
    31,147x = 858,325,530.10
  5. Step 5: Solve for x
    x = 858,325,530.10/31,147
  6. Step 6: Final answer
    x = 27,557.25

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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.