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Finding the Fourth Proportional to 35,238.44, 52,857.86 and 8,943.24

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Solution

The fourth proportional to 35,238.44, 52,857.86 and 8,943.24 is: 13,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,238.44 : 52,857.86 = 8,943.24 : x
  2. Step 2: Convert to fraction form
    35,238.44/52,857.86 = 8,943.24/x
  3. Step 3: Cross multiply
    35,238.44x = 52,857.86 × 8,943.24
  4. Step 4: Simplify right side
    35,238.44x = 472,720,527.87
  5. Step 5: Solve for x
    x = 472,720,527.87/35,238.44
  6. Step 6: Final answer
    x = 13,414.91

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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.