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Finding the Fourth Proportional to 75,629.20, 113,443.80 and 74,462.80

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Solution

The fourth proportional to 75,629.20, 113,443.80 and 74,462.80 is: 111,694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,629.20 : 113,443.80 = 74,462.80 : x
  2. Step 2: Convert to fraction form
    75,629.20/113,443.80 = 74,462.80/x
  3. Step 3: Cross multiply
    75,629.20x = 113,443.80 × 74,462.80
  4. Step 4: Simplify right side
    75,629.20x = 8,447,342,990.64
  5. Step 5: Solve for x
    x = 8,447,342,990.64/75,629.20
  6. Step 6: Final answer
    x = 111,694.20

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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.