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Finding the Fourth Proportional to 75,600, 113,367.24 and 22,997.28

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Solution

The fourth proportional to 75,600, 113,367.24 and 22,997.28 is: 34,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,600 : 113,367.24 = 22,997.28 : x
  2. Step 2: Convert to fraction form
    75,600/113,367.24 = 22,997.28/x
  3. Step 3: Cross multiply
    75,600x = 113,367.24 × 22,997.28
  4. Step 4: Simplify right side
    75,600x = 2,607,138,161.11
  5. Step 5: Solve for x
    x = 2,607,138,161.11/75,600
  6. Step 6: Final answer
    x = 34,485.95

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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.