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Finding the Fourth Proportional to 33,245.30, 49,870.20 and 13,524.20

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Solution

The fourth proportional to 33,245.30, 49,870.20 and 13,524.20 is: 20,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,245.30 : 49,870.20 = 13,524.20 : x
  2. Step 2: Convert to fraction form
    33,245.30/49,870.20 = 13,524.20/x
  3. Step 3: Cross multiply
    33,245.30x = 49,870.20 × 13,524.20
  4. Step 4: Simplify right side
    33,245.30x = 674,454,558.84
  5. Step 5: Solve for x
    x = 674,454,558.84/33,245.30
  6. Step 6: Final answer
    x = 20,287.22

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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.