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Finding the Fourth Proportional to 68,338.57, 102,411.52 and 32,276.58

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Solution

The fourth proportional to 68,338.57, 102,411.52 and 32,276.58 is: 48,369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,338.57 : 102,411.52 = 32,276.58 : x
  2. Step 2: Convert to fraction form
    68,338.57/102,411.52 = 32,276.58/x
  3. Step 3: Cross multiply
    68,338.57x = 102,411.52 × 32,276.58
  4. Step 4: Simplify right side
    68,338.57x = 3,305,493,729.53
  5. Step 5: Solve for x
    x = 3,305,493,729.53/68,338.57
  6. Step 6: Final answer
    x = 48,369.37

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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.