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Finding the Fourth Proportional to 114,590.69, 171,894.32 and 47,963.78

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Solution

The fourth proportional to 114,590.69, 171,894.32 and 47,963.78 is: 71,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,590.69 : 171,894.32 = 47,963.78 : x
  2. Step 2: Convert to fraction form
    114,590.69/171,894.32 = 47,963.78/x
  3. Step 3: Cross multiply
    114,590.69x = 171,894.32 × 47,963.78
  4. Step 4: Simplify right side
    114,590.69x = 8,244,701,107.91
  5. Step 5: Solve for x
    x = 8,244,701,107.91/114,590.69
  6. Step 6: Final answer
    x = 71,949.14

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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.