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Finding the Fourth Proportional to 75,625.74, 113,449.14 and 33,502.50

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Solution

The fourth proportional to 75,625.74, 113,449.14 and 33,502.50 is: 50,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,625.74 : 113,449.14 = 33,502.50 : x
  2. Step 2: Convert to fraction form
    75,625.74/113,449.14 = 33,502.50/x
  3. Step 3: Cross multiply
    75,625.74x = 113,449.14 × 33,502.50
  4. Step 4: Simplify right side
    75,625.74x = 3,800,829,812.85
  5. Step 5: Solve for x
    x = 3,800,829,812.85/75,625.74
  6. Step 6: Final answer
    x = 50,258.41

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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.