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Finding the Fourth Proportional to 41,920.92, 62,825.82 and 30,775.50

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Solution

The fourth proportional to 41,920.92, 62,825.82 and 30,775.50 is: 46,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,920.92 : 62,825.82 = 30,775.50 : x
  2. Step 2: Convert to fraction form
    41,920.92/62,825.82 = 30,775.50/x
  3. Step 3: Cross multiply
    41,920.92x = 62,825.82 × 30,775.50
  4. Step 4: Simplify right side
    41,920.92x = 1,933,496,023.41
  5. Step 5: Solve for x
    x = 1,933,496,023.41/41,920.92
  6. Step 6: Final answer
    x = 46,122.46

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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.