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Finding the Fourth Proportional to 75,768.75, 113,687.42 and 33,087.42

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Solution

The fourth proportional to 75,768.75, 113,687.42 and 33,087.42 is: 49,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,768.75 : 113,687.42 = 33,087.42 : x
  2. Step 2: Convert to fraction form
    75,768.75/113,687.42 = 33,087.42/x
  3. Step 3: Cross multiply
    75,768.75x = 113,687.42 × 33,087.42
  4. Step 4: Simplify right side
    75,768.75x = 3,761,623,248.82
  5. Step 5: Solve for x
    x = 3,761,623,248.82/75,768.75
  6. Step 6: Final answer
    x = 49,646.10

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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.