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Finding the Fourth Proportional to 31,145.90, 42,974.73 and 19,811.25

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Solution

The fourth proportional to 31,145.90, 42,974.73 and 19,811.25 is: 27,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145.90 : 42,974.73 = 19,811.25 : x
  2. Step 2: Convert to fraction form
    31,145.90/42,974.73 = 19,811.25/x
  3. Step 3: Cross multiply
    31,145.90x = 42,974.73 × 19,811.25
  4. Step 4: Simplify right side
    31,145.90x = 851,383,119.71
  5. Step 5: Solve for x
    x = 851,383,119.71/31,145.90
  6. Step 6: Final answer
    x = 27,335.32

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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.