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Finding the Fourth Proportional to 75,855.60, 113,774.49 and 33,736.68

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Solution

The fourth proportional to 75,855.60, 113,774.49 and 33,736.68 is: 50,601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,855.60 : 113,774.49 = 33,736.68 : x
  2. Step 2: Convert to fraction form
    75,855.60/113,774.49 = 33,736.68/x
  3. Step 3: Cross multiply
    75,855.60x = 113,774.49 × 33,736.68
  4. Step 4: Simplify right side
    75,855.60x = 3,838,373,561.29
  5. Step 5: Solve for x
    x = 3,838,373,561.29/75,855.60
  6. Step 6: Final answer
    x = 50,601.06

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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.