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Finding the Fourth Proportional to 49,520.97, 74,291.09 and 21,057.60

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Solution

The fourth proportional to 49,520.97, 74,291.09 and 21,057.60 is: 31,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,520.97 : 74,291.09 = 21,057.60 : x
  2. Step 2: Convert to fraction form
    49,520.97/74,291.09 = 21,057.60/x
  3. Step 3: Cross multiply
    49,520.97x = 74,291.09 × 21,057.60
  4. Step 4: Simplify right side
    49,520.97x = 1,564,392,348.54
  5. Step 5: Solve for x
    x = 1,564,392,348.54/49,520.97
  6. Step 6: Final answer
    x = 31,590.50

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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.