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Finding the Fourth Proportional to 48,640.91, 67,114.22 and 29,530.68

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Solution

The fourth proportional to 48,640.91, 67,114.22 and 29,530.68 is: 40,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,640.91 : 67,114.22 = 29,530.68 : x
  2. Step 2: Convert to fraction form
    48,640.91/67,114.22 = 29,530.68/x
  3. Step 3: Cross multiply
    48,640.91x = 67,114.22 × 29,530.68
  4. Step 4: Simplify right side
    48,640.91x = 1,981,928,321.05
  5. Step 5: Solve for x
    x = 1,981,928,321.05/48,640.91
  6. Step 6: Final answer
    x = 40,746.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.