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Finding the Fourth Proportional to 75,697.94, 113,569.11 and 22,391.33

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Solution

The fourth proportional to 75,697.94, 113,569.11 and 22,391.33 is: 33,593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,697.94 : 113,569.11 = 22,391.33 : x
  2. Step 2: Convert to fraction form
    75,697.94/113,569.11 = 22,391.33/x
  3. Step 3: Cross multiply
    75,697.94x = 113,569.11 × 22,391.33
  4. Step 4: Simplify right side
    75,697.94x = 2,542,962,740.01
  5. Step 5: Solve for x
    x = 2,542,962,740.01/75,697.94
  6. Step 6: Final answer
    x = 33,593.55

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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.