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Finding the Fourth Proportional to 114,590.44, 171,893.94 and 47,963.56

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Solution

The fourth proportional to 114,590.44, 171,893.94 and 47,963.56 is: 71,948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,590.44 : 171,893.94 = 47,963.56 : x
  2. Step 2: Convert to fraction form
    114,590.44/171,893.94 = 47,963.56/x
  3. Step 3: Cross multiply
    114,590.44x = 171,893.94 × 47,963.56
  4. Step 4: Simplify right side
    114,590.44x = 8,244,645,304.83
  5. Step 5: Solve for x
    x = 8,244,645,304.83/114,590.44
  6. Step 6: Final answer
    x = 71,948.81

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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.