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Finding the Fourth Proportional to 57,238.45, 78,989.50 and 31,743.38

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Solution

The fourth proportional to 57,238.45, 78,989.50 and 31,743.38 is: 43,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,238.45 : 78,989.50 = 31,743.38 : x
  2. Step 2: Convert to fraction form
    57,238.45/78,989.50 = 31,743.38/x
  3. Step 3: Cross multiply
    57,238.45x = 78,989.50 × 31,743.38
  4. Step 4: Simplify right side
    57,238.45x = 2,507,393,951.66
  5. Step 5: Solve for x
    x = 2,507,393,951.66/57,238.45
  6. Step 6: Final answer
    x = 43,806.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.