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Finding the Fourth Proportional to 31,699.36, 43,724.80 and 19,112

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Solution

The fourth proportional to 31,699.36, 43,724.80 and 19,112 is: 26,362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,699.36 : 43,724.80 = 19,112 : x
  2. Step 2: Convert to fraction form
    31,699.36/43,724.80 = 19,112/x
  3. Step 3: Cross multiply
    31,699.36x = 43,724.80 × 19,112
  4. Step 4: Simplify right side
    31,699.36x = 835,668,377.60
  5. Step 5: Solve for x
    x = 835,668,377.60/31,699.36
  6. Step 6: Final answer
    x = 26,362.31

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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.