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Finding the Fourth Proportional to 114,596.44, 171,902.94 and 47,969.56

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Solution

The fourth proportional to 114,596.44, 171,902.94 and 47,969.56 is: 71,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,596.44 : 171,902.94 = 47,969.56 : x
  2. Step 2: Convert to fraction form
    114,596.44/171,902.94 = 47,969.56/x
  3. Step 3: Cross multiply
    114,596.44x = 171,902.94 × 47,969.56
  4. Step 4: Simplify right side
    114,596.44x = 8,246,108,394.51
  5. Step 5: Solve for x
    x = 8,246,108,394.51/114,596.44
  6. Step 6: Final answer
    x = 71,957.81

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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.