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Finding the Fourth Proportional to 49,900.50, 68,862.78 and 27,544.50

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Solution

The fourth proportional to 49,900.50, 68,862.78 and 27,544.50 is: 38,011.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,900.50 : 68,862.78 = 27,544.50 : x
  2. Step 2: Convert to fraction form
    49,900.50/68,862.78 = 27,544.50/x
  3. Step 3: Cross multiply
    49,900.50x = 68,862.78 × 27,544.50
  4. Step 4: Simplify right side
    49,900.50x = 1,896,790,843.71
  5. Step 5: Solve for x
    x = 1,896,790,843.71/49,900.50
  6. Step 6: Final answer
    x = 38,011.46

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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.