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Finding the Fourth Proportional to 117,766.62, 176,650.05 and 47,646.54

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Solution

The fourth proportional to 117,766.62, 176,650.05 and 47,646.54 is: 71,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,766.62 : 176,650.05 = 47,646.54 : x
  2. Step 2: Convert to fraction form
    117,766.62/176,650.05 = 47,646.54/x
  3. Step 3: Cross multiply
    117,766.62x = 176,650.05 × 47,646.54
  4. Step 4: Simplify right side
    117,766.62x = 8,416,763,673.33
  5. Step 5: Solve for x
    x = 8,416,763,673.33/117,766.62
  6. Step 6: Final answer
    x = 71,469.86

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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.