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Finding the Fourth Proportional to 75,021, 112,546.68 and 33,468

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Solution

The fourth proportional to 75,021, 112,546.68 and 33,468 is: 50,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,021 : 112,546.68 = 33,468 : x
  2. Step 2: Convert to fraction form
    75,021/112,546.68 = 33,468/x
  3. Step 3: Cross multiply
    75,021x = 112,546.68 × 33,468
  4. Step 4: Simplify right side
    75,021x = 3,766,712,286.24
  5. Step 5: Solve for x
    x = 3,766,712,286.24/75,021
  6. Step 6: Final answer
    x = 50,208.77

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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.