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Finding the Fourth Proportional to 114,586.44, 171,887.96 and 47,959.56

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Solution

The fourth proportional to 114,586.44, 171,887.96 and 47,959.56 is: 71,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,586.44 : 171,887.96 = 47,959.56 : x
  2. Step 2: Convert to fraction form
    114,586.44/171,887.96 = 47,959.56/x
  3. Step 3: Cross multiply
    114,586.44x = 171,887.96 × 47,959.56
  4. Step 4: Simplify right side
    114,586.44x = 8,243,670,930.90
  5. Step 5: Solve for x
    x = 8,243,670,930.90/114,586.44
  6. Step 6: Final answer
    x = 71,942.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.