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Finding the Fourth Proportional to 32,797.80, 49,205.16 and 11,736.99

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Solution

The fourth proportional to 32,797.80, 49,205.16 and 11,736.99 is: 17,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,797.80 : 49,205.16 = 11,736.99 : x
  2. Step 2: Convert to fraction form
    32,797.80/49,205.16 = 11,736.99/x
  3. Step 3: Cross multiply
    32,797.80x = 49,205.16 × 11,736.99
  4. Step 4: Simplify right side
    32,797.80x = 577,520,470.87
  5. Step 5: Solve for x
    x = 577,520,470.87/32,797.80
  6. Step 6: Final answer
    x = 17,608.51

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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.