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Finding the Fourth Proportional to 31,139, 42,971.83 and 19,961

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Solution

The fourth proportional to 31,139, 42,971.83 and 19,961 is: 27,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,139 : 42,971.83 = 19,961 : x
  2. Step 2: Convert to fraction form
    31,139/42,971.83 = 19,961/x
  3. Step 3: Cross multiply
    31,139x = 42,971.83 × 19,961
  4. Step 4: Simplify right side
    31,139x = 857,760,698.63
  5. Step 5: Solve for x
    x = 857,760,698.63/31,139
  6. Step 6: Final answer
    x = 27,546.19

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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.