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Finding the Fourth Proportional to 49,205.76, 73,809.77 and 17,617.97

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Solution

The fourth proportional to 49,205.76, 73,809.77 and 17,617.97 is: 26,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,205.76 : 73,809.77 = 17,617.97 : x
  2. Step 2: Convert to fraction form
    49,205.76/73,809.77 = 17,617.97/x
  3. Step 3: Cross multiply
    49,205.76x = 73,809.77 × 17,617.97
  4. Step 4: Simplify right side
    49,205.76x = 1,300,377,856.43
  5. Step 5: Solve for x
    x = 1,300,377,856.43/49,205.76
  6. Step 6: Final answer
    x = 26,427.35

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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.