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Finding the Fourth Proportional to 49,384, 68,149.92 and 27,028

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Solution

The fourth proportional to 49,384, 68,149.92 and 27,028 is: 37,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,384 : 68,149.92 = 27,028 : x
  2. Step 2: Convert to fraction form
    49,384/68,149.92 = 27,028/x
  3. Step 3: Cross multiply
    49,384x = 68,149.92 × 27,028
  4. Step 4: Simplify right side
    49,384x = 1,841,956,037.76
  5. Step 5: Solve for x
    x = 1,841,956,037.76/49,384
  6. Step 6: Final answer
    x = 37,298.64

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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.