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Finding the Fourth Proportional to 57,223.75, 78,969.73 and 31,731.19

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Solution

The fourth proportional to 57,223.75, 78,969.73 and 31,731.19 is: 43,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,223.75 : 78,969.73 = 31,731.19 : x
  2. Step 2: Convert to fraction form
    57,223.75/78,969.73 = 31,731.19/x
  3. Step 3: Cross multiply
    57,223.75x = 78,969.73 × 31,731.19
  4. Step 4: Simplify right side
    57,223.75x = 2,505,803,506.88
  5. Step 5: Solve for x
    x = 2,505,803,506.88/57,223.75
  6. Step 6: Final answer
    x = 43,789.57

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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.