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Finding the Fourth Proportional to 167,835.80, 251,755.32 and 47,892.62

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Solution

The fourth proportional to 167,835.80, 251,755.32 and 47,892.62 is: 71,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,835.80 : 251,755.32 = 47,892.62 : x
  2. Step 2: Convert to fraction form
    167,835.80/251,755.32 = 47,892.62/x
  3. Step 3: Cross multiply
    167,835.80x = 251,755.32 × 47,892.62
  4. Step 4: Simplify right side
    167,835.80x = 12,057,221,873.74
  5. Step 5: Solve for x
    x = 12,057,221,873.74/167,835.80
  6. Step 6: Final answer
    x = 71,839.39

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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.