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Finding the Fourth Proportional to 35,198.40, 52,700.40 and 27,422.40

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Solution

The fourth proportional to 35,198.40, 52,700.40 and 27,422.40 is: 41,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,198.40 : 52,700.40 = 27,422.40 : x
  2. Step 2: Convert to fraction form
    35,198.40/52,700.40 = 27,422.40/x
  3. Step 3: Cross multiply
    35,198.40x = 52,700.40 × 27,422.40
  4. Step 4: Simplify right side
    35,198.40x = 1,445,171,448.96
  5. Step 5: Solve for x
    x = 1,445,171,448.96/35,198.40
  6. Step 6: Final answer
    x = 41,057.87

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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.