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Finding the Fourth Proportional to 114,617.56, 171,722.94 and 47,910.64

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Solution

The fourth proportional to 114,617.56, 171,722.94 and 47,910.64 is: 71,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,617.56 : 171,722.94 = 47,910.64 : x
  2. Step 2: Convert to fraction form
    114,617.56/171,722.94 = 47,910.64/x
  3. Step 3: Cross multiply
    114,617.56x = 171,722.94 × 47,910.64
  4. Step 4: Simplify right side
    114,617.56x = 8,227,355,958.08
  5. Step 5: Solve for x
    x = 8,227,355,958.08/114,617.56
  6. Step 6: Final answer
    x = 71,780.94

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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.