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Finding the Fourth Proportional to 49,324.52, 73,978.68 and 21,237.02

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Solution

The fourth proportional to 49,324.52, 73,978.68 and 21,237.02 is: 31,852.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,324.52 : 73,978.68 = 21,237.02 : x
  2. Step 2: Convert to fraction form
    49,324.52/73,978.68 = 21,237.02/x
  3. Step 3: Cross multiply
    49,324.52x = 73,978.68 × 21,237.02
  4. Step 4: Simplify right side
    49,324.52x = 1,571,086,706.73
  5. Step 5: Solve for x
    x = 1,571,086,706.73/49,324.52
  6. Step 6: Final answer
    x = 31,852.04

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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.