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Finding the Fourth Proportional to 33,728.54, 50,583.98 and 10,029.70

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Solution

The fourth proportional to 33,728.54, 50,583.98 and 10,029.70 is: 15,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,728.54 : 50,583.98 = 10,029.70 : x
  2. Step 2: Convert to fraction form
    33,728.54/50,583.98 = 10,029.70/x
  3. Step 3: Cross multiply
    33,728.54x = 50,583.98 × 10,029.70
  4. Step 4: Simplify right side
    33,728.54x = 507,342,042.82
  5. Step 5: Solve for x
    x = 507,342,042.82/33,728.54
  6. Step 6: Final answer
    x = 15,041.92

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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.