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Finding the Fourth Proportional to 114,376.80, 171,632.60 and 47,811.80

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Solution

The fourth proportional to 114,376.80, 171,632.60 and 47,811.80 is: 71,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,376.80 : 171,632.60 = 47,811.80 : x
  2. Step 2: Convert to fraction form
    114,376.80/171,632.60 = 47,811.80/x
  3. Step 3: Cross multiply
    114,376.80x = 171,632.60 × 47,811.80
  4. Step 4: Simplify right side
    114,376.80x = 8,206,063,544.68
  5. Step 5: Solve for x
    x = 8,206,063,544.68/114,376.80
  6. Step 6: Final answer
    x = 71,745.87

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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.