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Finding the Fourth Proportional to 83,274.98, 124,824.99 and 30,650.90

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Solution

The fourth proportional to 83,274.98, 124,824.99 and 30,650.90 is: 45,944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,274.98 : 124,824.99 = 30,650.90 : x
  2. Step 2: Convert to fraction form
    83,274.98/124,824.99 = 30,650.90/x
  3. Step 3: Cross multiply
    83,274.98x = 124,824.99 × 30,650.90
  4. Step 4: Simplify right side
    83,274.98x = 3,825,998,285.99
  5. Step 5: Solve for x
    x = 3,825,998,285.99/83,274.98
  6. Step 6: Final answer
    x = 45,944.15

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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.