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Finding the Fourth Proportional to 75,195, 112,748.76 and 33,073.92

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Solution

The fourth proportional to 75,195, 112,748.76 and 33,073.92 is: 49,591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,195 : 112,748.76 = 33,073.92 : x
  2. Step 2: Convert to fraction form
    75,195/112,748.76 = 33,073.92/x
  3. Step 3: Cross multiply
    75,195x = 112,748.76 × 33,073.92
  4. Step 4: Simplify right side
    75,195x = 3,729,043,468.34
  5. Step 5: Solve for x
    x = 3,729,043,468.34/75,195
  6. Step 6: Final answer
    x = 49,591.64

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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.