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Finding the Fourth Proportional to 33,839.80, 50,728.74 and 13,047.64

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Solution

The fourth proportional to 33,839.80, 50,728.74 and 13,047.64 is: 19,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,839.80 : 50,728.74 = 13,047.64 : x
  2. Step 2: Convert to fraction form
    33,839.80/50,728.74 = 13,047.64/x
  3. Step 3: Cross multiply
    33,839.80x = 50,728.74 × 13,047.64
  4. Step 4: Simplify right side
    33,839.80x = 661,890,337.17
  5. Step 5: Solve for x
    x = 661,890,337.17/33,839.80
  6. Step 6: Final answer
    x = 19,559.52

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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.