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Finding the Fourth Proportional to 30,674.71, 42,329.16 and 17,245.78

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Solution

The fourth proportional to 30,674.71, 42,329.16 and 17,245.78 is: 23,798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.71 : 42,329.16 = 17,245.78 : x
  2. Step 2: Convert to fraction form
    30,674.71/42,329.16 = 17,245.78/x
  3. Step 3: Cross multiply
    30,674.71x = 42,329.16 × 17,245.78
  4. Step 4: Simplify right side
    30,674.71x = 729,999,380.94
  5. Step 5: Solve for x
    x = 729,999,380.94/30,674.71
  6. Step 6: Final answer
    x = 23,798.09

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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.