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Finding the Fourth Proportional to 36,357.64, 54,519 and 21,568.48

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Solution

The fourth proportional to 36,357.64, 54,519 and 21,568.48 is: 32,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,357.64 : 54,519 = 21,568.48 : x
  2. Step 2: Convert to fraction form
    36,357.64/54,519 = 21,568.48/x
  3. Step 3: Cross multiply
    36,357.64x = 54,519 × 21,568.48
  4. Step 4: Simplify right side
    36,357.64x = 1,175,891,961.12
  5. Step 5: Solve for x
    x = 1,175,891,961.12/36,357.64
  6. Step 6: Final answer
    x = 32,342.36

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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.