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Finding the Fourth Proportional to 114,590.09, 171,709.32 and 47,993.78

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Solution

The fourth proportional to 114,590.09, 171,709.32 and 47,993.78 is: 71,917.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,590.09 : 171,709.32 = 47,993.78 : x
  2. Step 2: Convert to fraction form
    114,590.09/171,709.32 = 47,993.78/x
  3. Step 3: Cross multiply
    114,590.09x = 171,709.32 × 47,993.78
  4. Step 4: Simplify right side
    114,590.09x = 8,240,979,328.03
  5. Step 5: Solve for x
    x = 8,240,979,328.03/114,590.09
  6. Step 6: Final answer
    x = 71,917.03

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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.