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Finding the Fourth Proportional to 68,046.65, 101,922.25 and 32,912.63

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Solution

The fourth proportional to 68,046.65, 101,922.25 and 32,912.63 is: 49,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,046.65 : 101,922.25 = 32,912.63 : x
  2. Step 2: Convert to fraction form
    68,046.65/101,922.25 = 32,912.63/x
  3. Step 3: Cross multiply
    68,046.65x = 101,922.25 × 32,912.63
  4. Step 4: Simplify right side
    68,046.65x = 3,354,529,303.02
  5. Step 5: Solve for x
    x = 3,354,529,303.02/68,046.65
  6. Step 6: Final answer
    x = 49,297.49

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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.