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Finding the Fourth Proportional to 75,350.40, 103,982.88 and 41,357.88

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Solution

The fourth proportional to 75,350.40, 103,982.88 and 41,357.88 is: 57,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,350.40 : 103,982.88 = 41,357.88 : x
  2. Step 2: Convert to fraction form
    75,350.40/103,982.88 = 41,357.88/x
  3. Step 3: Cross multiply
    75,350.40x = 103,982.88 × 41,357.88
  4. Step 4: Simplify right side
    75,350.40x = 4,300,511,473.09
  5. Step 5: Solve for x
    x = 4,300,511,473.09/75,350.40
  6. Step 6: Final answer
    x = 57,073.51

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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.