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Finding the Fourth Proportional to 112,194.50, 168,290.42 and 32,234.40

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Solution

The fourth proportional to 112,194.50, 168,290.42 and 32,234.40 is: 48,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,194.50 : 168,290.42 = 32,234.40 : x
  2. Step 2: Convert to fraction form
    112,194.50/168,290.42 = 32,234.40/x
  3. Step 3: Cross multiply
    112,194.50x = 168,290.42 × 32,234.40
  4. Step 4: Simplify right side
    112,194.50x = 5,424,740,553.28
  5. Step 5: Solve for x
    x = 5,424,740,553.28/112,194.50
  6. Step 6: Final answer
    x = 48,351.22

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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.