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Finding the Fourth Proportional to 74,589.60, 111,884.68 and 30,217.20

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Solution

The fourth proportional to 74,589.60, 111,884.68 and 30,217.20 is: 45,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,589.60 : 111,884.68 = 30,217.20 : x
  2. Step 2: Convert to fraction form
    74,589.60/111,884.68 = 30,217.20/x
  3. Step 3: Cross multiply
    74,589.60x = 111,884.68 × 30,217.20
  4. Step 4: Simplify right side
    74,589.60x = 3,380,841,752.50
  5. Step 5: Solve for x
    x = 3,380,841,752.50/74,589.60
  6. Step 6: Final answer
    x = 45,325.91

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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.