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Finding the Fourth Proportional to 83,233, 124,849.50 and 27,830.44

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Solution

The fourth proportional to 83,233, 124,849.50 and 27,830.44 is: 41,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,233 : 124,849.50 = 27,830.44 : x
  2. Step 2: Convert to fraction form
    83,233/124,849.50 = 27,830.44/x
  3. Step 3: Cross multiply
    83,233x = 124,849.50 × 27,830.44
  4. Step 4: Simplify right side
    83,233x = 3,474,616,518.78
  5. Step 5: Solve for x
    x = 3,474,616,518.78/83,233
  6. Step 6: Final answer
    x = 41,745.66

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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.