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Finding the Fourth Proportional to 75,344.40, 103,974.60 and 41,351.88

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Solution

The fourth proportional to 75,344.40, 103,974.60 and 41,351.88 is: 57,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,344.40 : 103,974.60 = 41,351.88 : x
  2. Step 2: Convert to fraction form
    75,344.40/103,974.60 = 41,351.88/x
  3. Step 3: Cross multiply
    75,344.40x = 103,974.60 × 41,351.88
  4. Step 4: Simplify right side
    75,344.40x = 4,299,545,182.25
  5. Step 5: Solve for x
    x = 4,299,545,182.25/75,344.40
  6. Step 6: Final answer
    x = 57,065.23

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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.