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Finding the Fourth Proportional to 31,109, 42,930.42 and 19,931

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Solution

The fourth proportional to 31,109, 42,930.42 and 19,931 is: 27,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,109 : 42,930.42 = 19,931 : x
  2. Step 2: Convert to fraction form
    31,109/42,930.42 = 19,931/x
  3. Step 3: Cross multiply
    31,109x = 42,930.42 × 19,931
  4. Step 4: Simplify right side
    31,109x = 855,646,201.02
  5. Step 5: Solve for x
    x = 855,646,201.02/31,109
  6. Step 6: Final answer
    x = 27,504.78

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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.