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Finding the Fourth Proportional to 75,617.20, 113,432.80 and 22,309.20

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Solution

The fourth proportional to 75,617.20, 113,432.80 and 22,309.20 is: 33,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,617.20 : 113,432.80 = 22,309.20 : x
  2. Step 2: Convert to fraction form
    75,617.20/113,432.80 = 22,309.20/x
  3. Step 3: Cross multiply
    75,617.20x = 113,432.80 × 22,309.20
  4. Step 4: Simplify right side
    75,617.20x = 2,530,595,021.76
  5. Step 5: Solve for x
    x = 2,530,595,021.76/75,617.20
  6. Step 6: Final answer
    x = 33,465.87

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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.