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Finding the Fourth Proportional to 65,451, 98,185.31 and 21,067.05

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Solution

The fourth proportional to 65,451, 98,185.31 and 21,067.05 is: 31,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,451 : 98,185.31 = 21,067.05 : x
  2. Step 2: Convert to fraction form
    65,451/98,185.31 = 21,067.05/x
  3. Step 3: Cross multiply
    65,451x = 98,185.31 × 21,067.05
  4. Step 4: Simplify right side
    65,451x = 2,068,474,835.04
  5. Step 5: Solve for x
    x = 2,068,474,835.04/65,451
  6. Step 6: Final answer
    x = 31,603.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.