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Finding the Fourth Proportional to 35,198.59, 48,576.38 and 20,094.32

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Solution

The fourth proportional to 35,198.59, 48,576.38 and 20,094.32 is: 27,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,198.59 : 48,576.38 = 20,094.32 : x
  2. Step 2: Convert to fraction form
    35,198.59/48,576.38 = 20,094.32/x
  3. Step 3: Cross multiply
    35,198.59x = 48,576.38 × 20,094.32
  4. Step 4: Simplify right side
    35,198.59x = 976,109,324.16
  5. Step 5: Solve for x
    x = 976,109,324.16/35,198.59
  6. Step 6: Final answer
    x = 27,731.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.