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Finding the Fourth Proportional to 49,143.92, 73,694.82 and 22,845.92

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Solution

The fourth proportional to 49,143.92, 73,694.82 and 22,845.92 is: 34,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,143.92 : 73,694.82 = 22,845.92 : x
  2. Step 2: Convert to fraction form
    49,143.92/73,694.82 = 22,845.92/x
  3. Step 3: Cross multiply
    49,143.92x = 73,694.82 × 22,845.92
  4. Step 4: Simplify right side
    49,143.92x = 1,683,625,962.13
  5. Step 5: Solve for x
    x = 1,683,625,962.13/49,143.92
  6. Step 6: Final answer
    x = 34,259.09

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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.