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Finding the Fourth Proportional to 75,729.40, 113,375.40 and 73,542.40

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Solution

The fourth proportional to 75,729.40, 113,375.40 and 73,542.40 is: 110,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,729.40 : 113,375.40 = 73,542.40 : x
  2. Step 2: Convert to fraction form
    75,729.40/113,375.40 = 73,542.40/x
  3. Step 3: Cross multiply
    75,729.40x = 113,375.40 × 73,542.40
  4. Step 4: Simplify right side
    75,729.40x = 8,337,899,016.96
  5. Step 5: Solve for x
    x = 8,337,899,016.96/75,729.40
  6. Step 6: Final answer
    x = 110,101.22

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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.