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Finding the Fourth Proportional to 54,743.30, 82,054.20 and 21,452.30

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Solution

The fourth proportional to 54,743.30, 82,054.20 and 21,452.30 is: 32,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,743.30 : 82,054.20 = 21,452.30 : x
  2. Step 2: Convert to fraction form
    54,743.30/82,054.20 = 21,452.30/x
  3. Step 3: Cross multiply
    54,743.30x = 82,054.20 × 21,452.30
  4. Step 4: Simplify right side
    54,743.30x = 1,760,251,314.66
  5. Step 5: Solve for x
    x = 1,760,251,314.66/54,743.30
  6. Step 6: Final answer
    x = 32,154.64

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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.