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Finding the Fourth Proportional to 31,194.70, 43,053.54 and 19,869.08

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Solution

The fourth proportional to 31,194.70, 43,053.54 and 19,869.08 is: 27,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.70 : 43,053.54 = 19,869.08 : x
  2. Step 2: Convert to fraction form
    31,194.70/43,053.54 = 19,869.08/x
  3. Step 3: Cross multiply
    31,194.70x = 43,053.54 × 19,869.08
  4. Step 4: Simplify right side
    31,194.70x = 855,434,230.54
  5. Step 5: Solve for x
    x = 855,434,230.54/31,194.70
  6. Step 6: Final answer
    x = 27,422.42

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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.