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Finding the Fourth Proportional to 30,440.97, 45,665.76 and 9,382.73

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Solution

The fourth proportional to 30,440.97, 45,665.76 and 9,382.73 is: 14,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,440.97 : 45,665.76 = 9,382.73 : x
  2. Step 2: Convert to fraction form
    30,440.97/45,665.76 = 9,382.73/x
  3. Step 3: Cross multiply
    30,440.97x = 45,665.76 × 9,382.73
  4. Step 4: Simplify right side
    30,440.97x = 428,469,232.81
  5. Step 5: Solve for x
    x = 428,469,232.81/30,440.97
  6. Step 6: Final answer
    x = 14,075.41

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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.