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Finding the Fourth Proportional to 49,055.49, 67,694.54 and 27,835.92

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Solution

The fourth proportional to 49,055.49, 67,694.54 and 27,835.92 is: 38,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,055.49 : 67,694.54 = 27,835.92 : x
  2. Step 2: Convert to fraction form
    49,055.49/67,694.54 = 27,835.92/x
  3. Step 3: Cross multiply
    49,055.49x = 67,694.54 × 27,835.92
  4. Step 4: Simplify right side
    49,055.49x = 1,884,339,660.70
  5. Step 5: Solve for x
    x = 1,884,339,660.70/49,055.49
  6. Step 6: Final answer
    x = 38,412.41

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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.