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Finding the Fourth Proportional to 33,829.40, 50,728.10 and 10,127.79

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Solution

The fourth proportional to 33,829.40, 50,728.10 and 10,127.79 is: 15,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,829.40 : 50,728.10 = 10,127.79 : x
  2. Step 2: Convert to fraction form
    33,829.40/50,728.10 = 10,127.79/x
  3. Step 3: Cross multiply
    33,829.40x = 50,728.10 × 10,127.79
  4. Step 4: Simplify right side
    33,829.40x = 513,763,493.26
  5. Step 5: Solve for x
    x = 513,763,493.26/33,829.40
  6. Step 6: Final answer
    x = 15,186.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.