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Finding the Fourth Proportional to 57,215.50, 78,962.04 and 31,724.39

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Solution

The fourth proportional to 57,215.50, 78,962.04 and 31,724.39 is: 43,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,215.50 : 78,962.04 = 31,724.39 : x
  2. Step 2: Convert to fraction form
    57,215.50/78,962.04 = 31,724.39/x
  3. Step 3: Cross multiply
    57,215.50x = 78,962.04 × 31,724.39
  4. Step 4: Simplify right side
    57,215.50x = 2,505,022,749.56
  5. Step 5: Solve for x
    x = 2,505,022,749.56/57,215.50
  6. Step 6: Final answer
    x = 43,782.24

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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.