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Finding the Fourth Proportional to 49,903.92, 68,866.38 and 27,243.36

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Solution

The fourth proportional to 49,903.92, 68,866.38 and 27,243.36 is: 37,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,903.92 : 68,866.38 = 27,243.36 : x
  2. Step 2: Convert to fraction form
    49,903.92/68,866.38 = 27,243.36/x
  3. Step 3: Cross multiply
    49,903.92x = 68,866.38 × 27,243.36
  4. Step 4: Simplify right side
    49,903.92x = 1,876,151,582.24
  5. Step 5: Solve for x
    x = 1,876,151,582.24/49,903.92
  6. Step 6: Final answer
    x = 37,595.27

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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.