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Finding the Fourth Proportional to 112,192, 168,286.68 and 32,231.90

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Solution

The fourth proportional to 112,192, 168,286.68 and 32,231.90 is: 48,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,192 : 168,286.68 = 32,231.90 : x
  2. Step 2: Convert to fraction form
    112,192/168,286.68 = 32,231.90/x
  3. Step 3: Cross multiply
    112,192x = 168,286.68 × 32,231.90
  4. Step 4: Simplify right side
    112,192x = 5,424,199,441.09
  5. Step 5: Solve for x
    x = 5,424,199,441.09/112,192
  6. Step 6: Final answer
    x = 48,347.47

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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.