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Finding the Fourth Proportional to 114,536.98, 171,630.10 and 47,940.85

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Solution

The fourth proportional to 114,536.98, 171,630.10 and 47,940.85 is: 71,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,536.98 : 171,630.10 = 47,940.85 : x
  2. Step 2: Convert to fraction form
    114,536.98/171,630.10 = 47,940.85/x
  3. Step 3: Cross multiply
    114,536.98x = 171,630.10 × 47,940.85
  4. Step 4: Simplify right side
    114,536.98x = 8,228,092,879.59
  5. Step 5: Solve for x
    x = 8,228,092,879.59/114,536.98
  6. Step 6: Final answer
    x = 71,837.87

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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.