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Finding the Fourth Proportional to 31,170.31, 43,029.19 and 19,855.32

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Solution

The fourth proportional to 31,170.31, 43,029.19 and 19,855.32 is: 27,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,170.31 : 43,029.19 = 19,855.32 : x
  2. Step 2: Convert to fraction form
    31,170.31/43,029.19 = 19,855.32/x
  3. Step 3: Cross multiply
    31,170.31x = 43,029.19 × 19,855.32
  4. Step 4: Simplify right side
    31,170.31x = 854,358,179.58
  5. Step 5: Solve for x
    x = 854,358,179.58/31,170.31
  6. Step 6: Final answer
    x = 27,409.36

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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.