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Finding the Fourth Proportional to 123,774.67, 185,671.82 and 35,028.73

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Solution

The fourth proportional to 123,774.67, 185,671.82 and 35,028.73 is: 52,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,774.67 : 185,671.82 = 35,028.73 : x
  2. Step 2: Convert to fraction form
    123,774.67/185,671.82 = 35,028.73/x
  3. Step 3: Cross multiply
    123,774.67x = 185,671.82 × 35,028.73
  4. Step 4: Simplify right side
    123,774.67x = 6,503,847,876.24
  5. Step 5: Solve for x
    x = 6,503,847,876.24/123,774.67
  6. Step 6: Final answer
    x = 52,545.87

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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.