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Finding the Fourth Proportional to 35,198.88, 52,785.44 and 10,232.16

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Solution

The fourth proportional to 35,198.88, 52,785.44 and 10,232.16 is: 15,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,198.88 : 52,785.44 = 10,232.16 : x
  2. Step 2: Convert to fraction form
    35,198.88/52,785.44 = 10,232.16/x
  3. Step 3: Cross multiply
    35,198.88x = 52,785.44 × 10,232.16
  4. Step 4: Simplify right side
    35,198.88x = 540,109,067.75
  5. Step 5: Solve for x
    x = 540,109,067.75/35,198.88
  6. Step 6: Final answer
    x = 15,344.50

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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.