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Finding the Fourth Proportional to 31,710.96, 43,790.53 and 23,739.34

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Solution

The fourth proportional to 31,710.96, 43,790.53 and 23,739.34 is: 32,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.96 : 43,790.53 = 23,739.34 : x
  2. Step 2: Convert to fraction form
    31,710.96/43,790.53 = 23,739.34/x
  3. Step 3: Cross multiply
    31,710.96x = 43,790.53 × 23,739.34
  4. Step 4: Simplify right side
    31,710.96x = 1,039,558,280.45
  5. Step 5: Solve for x
    x = 1,039,558,280.45/31,710.96
  6. Step 6: Final answer
    x = 32,782.30

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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.