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Finding the Fourth Proportional to 30,635.20, 45,953.02 and 8,449.84

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Solution

The fourth proportional to 30,635.20, 45,953.02 and 8,449.84 is: 12,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,635.20 : 45,953.02 = 8,449.84 : x
  2. Step 2: Convert to fraction form
    30,635.20/45,953.02 = 8,449.84/x
  3. Step 3: Cross multiply
    30,635.20x = 45,953.02 × 8,449.84
  4. Step 4: Simplify right side
    30,635.20x = 388,295,476.03
  5. Step 5: Solve for x
    x = 388,295,476.03/30,635.20
  6. Step 6: Final answer
    x = 12,674.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.