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Finding the Fourth Proportional to 75,825.24, 113,738.32 and 33,695.42

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Solution

The fourth proportional to 75,825.24, 113,738.32 and 33,695.42 is: 50,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,825.24 : 113,738.32 = 33,695.42 : x
  2. Step 2: Convert to fraction form
    75,825.24/113,738.32 = 33,695.42/x
  3. Step 3: Cross multiply
    75,825.24x = 113,738.32 × 33,695.42
  4. Step 4: Simplify right side
    75,825.24x = 3,832,459,725.33
  5. Step 5: Solve for x
    x = 3,832,459,725.33/75,825.24
  6. Step 6: Final answer
    x = 50,543.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.