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Finding the Fourth Proportional to 57,221.99, 78,967.29 and 31,729.43

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Solution

The fourth proportional to 57,221.99, 78,967.29 and 31,729.43 is: 43,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,221.99 : 78,967.29 = 31,729.43 : x
  2. Step 2: Convert to fraction form
    57,221.99/78,967.29 = 31,729.43/x
  3. Step 3: Cross multiply
    57,221.99x = 78,967.29 × 31,729.43
  4. Step 4: Simplify right side
    57,221.99x = 2,505,587,100.34
  5. Step 5: Solve for x
    x = 2,505,587,100.34/57,221.99
  6. Step 6: Final answer
    x = 43,787.14

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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.