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Finding the Fourth Proportional to 49,598.24, 68,451.84 and 30,738.20

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Solution

The fourth proportional to 49,598.24, 68,451.84 and 30,738.20 is: 42,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,598.24 : 68,451.84 = 30,738.20 : x
  2. Step 2: Convert to fraction form
    49,598.24/68,451.84 = 30,738.20/x
  3. Step 3: Cross multiply
    49,598.24x = 68,451.84 × 30,738.20
  4. Step 4: Simplify right side
    49,598.24x = 2,104,086,006.03
  5. Step 5: Solve for x
    x = 2,104,086,006.03/49,598.24
  6. Step 6: Final answer
    x = 42,422.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.