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Finding the Fourth Proportional to 83,257.49, 124,919.08 and 36,477.56

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Solution

The fourth proportional to 83,257.49, 124,919.08 and 36,477.56 is: 54,730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,257.49 : 124,919.08 = 36,477.56 : x
  2. Step 2: Convert to fraction form
    83,257.49/124,919.08 = 36,477.56/x
  3. Step 3: Cross multiply
    83,257.49x = 124,919.08 × 36,477.56
  4. Step 4: Simplify right side
    83,257.49x = 4,556,743,456.95
  5. Step 5: Solve for x
    x = 4,556,743,456.95/83,257.49
  6. Step 6: Final answer
    x = 54,730.73

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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.