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Finding the Fourth Proportional to 114,588.09, 171,706.32 and 47,991.78

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Solution

The fourth proportional to 114,588.09, 171,706.32 and 47,991.78 is: 71,914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,588.09 : 171,706.32 = 47,991.78 : x
  2. Step 2: Convert to fraction form
    114,588.09/171,706.32 = 47,991.78/x
  3. Step 3: Cross multiply
    114,588.09x = 171,706.32 × 47,991.78
  4. Step 4: Simplify right side
    114,588.09x = 8,240,491,934.05
  5. Step 5: Solve for x
    x = 8,240,491,934.05/114,588.09
  6. Step 6: Final answer
    x = 71,914.04

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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.