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Finding the Fourth Proportional to 70,531.42, 105,772.52 and 31,067

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Solution

The fourth proportional to 70,531.42, 105,772.52 and 31,067 is: 46,589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,531.42 : 105,772.52 = 31,067 : x
  2. Step 2: Convert to fraction form
    70,531.42/105,772.52 = 31,067/x
  3. Step 3: Cross multiply
    70,531.42x = 105,772.52 × 31,067
  4. Step 4: Simplify right side
    70,531.42x = 3,286,034,878.84
  5. Step 5: Solve for x
    x = 3,286,034,878.84/70,531.42
  6. Step 6: Final answer
    x = 46,589.66

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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.