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Finding the Fourth Proportional to 73,109.64, 100,891.46 and 39,575.64

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Solution

The fourth proportional to 73,109.64, 100,891.46 and 39,575.64 is: 54,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,109.64 : 100,891.46 = 39,575.64 : x
  2. Step 2: Convert to fraction form
    73,109.64/100,891.46 = 39,575.64/x
  3. Step 3: Cross multiply
    73,109.64x = 100,891.46 × 39,575.64
  4. Step 4: Simplify right side
    73,109.64x = 3,992,844,100.03
  5. Step 5: Solve for x
    x = 3,992,844,100.03/73,109.64
  6. Step 6: Final answer
    x = 54,614.47

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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.