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Finding the Fourth Proportional to 31,193.68, 43,078.74 and 19,868.25

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Solution

The fourth proportional to 31,193.68, 43,078.74 and 19,868.25 is: 27,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,193.68 : 43,078.74 = 19,868.25 : x
  2. Step 2: Convert to fraction form
    31,193.68/43,078.74 = 19,868.25/x
  3. Step 3: Cross multiply
    31,193.68x = 43,078.74 × 19,868.25
  4. Step 4: Simplify right side
    31,193.68x = 855,899,081.31
  5. Step 5: Solve for x
    x = 855,899,081.31/31,193.68
  6. Step 6: Final answer
    x = 27,438.22

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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.