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Finding the Fourth Proportional to 31,198.83, 43,054.31 and 17,051.78

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Solution

The fourth proportional to 31,198.83, 43,054.31 and 17,051.78 is: 23,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198.83 : 43,054.31 = 17,051.78 : x
  2. Step 2: Convert to fraction form
    31,198.83/43,054.31 = 17,051.78/x
  3. Step 3: Cross multiply
    31,198.83x = 43,054.31 × 17,051.78
  4. Step 4: Simplify right side
    31,198.83x = 734,152,622.17
  5. Step 5: Solve for x
    x = 734,152,622.17/31,198.83
  6. Step 6: Final answer
    x = 23,531.42

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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.