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Finding the Fourth Proportional to 31,129.75, 42,959.06 and 19,951.75

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Solution

The fourth proportional to 31,129.75, 42,959.06 and 19,951.75 is: 27,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.75 : 42,959.06 = 19,951.75 : x
  2. Step 2: Convert to fraction form
    31,129.75/42,959.06 = 19,951.75/x
  3. Step 3: Cross multiply
    31,129.75x = 42,959.06 × 19,951.75
  4. Step 4: Simplify right side
    31,129.75x = 857,108,425.36
  5. Step 5: Solve for x
    x = 857,108,425.36/31,129.75
  6. Step 6: Final answer
    x = 27,533.42

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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.