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Finding the Fourth Proportional to 31,710.71, 43,790.19 and 23,739.09

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Solution

The fourth proportional to 31,710.71, 43,790.19 and 23,739.09 is: 32,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.71 : 43,790.19 = 23,739.09 : x
  2. Step 2: Convert to fraction form
    31,710.71/43,790.19 = 23,739.09/x
  3. Step 3: Cross multiply
    31,710.71x = 43,790.19 × 23,739.09
  4. Step 4: Simplify right side
    31,710.71x = 1,039,539,261.53
  5. Step 5: Solve for x
    x = 1,039,539,261.53/31,710.71
  6. Step 6: Final answer
    x = 32,781.97

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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.