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Finding the Fourth Proportional to 33,130.63, 49,696.29 and 9,757.07

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Solution

The fourth proportional to 33,130.63, 49,696.29 and 9,757.07 is: 14,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,130.63 : 49,696.29 = 9,757.07 : x
  2. Step 2: Convert to fraction form
    33,130.63/49,696.29 = 9,757.07/x
  3. Step 3: Cross multiply
    33,130.63x = 49,696.29 × 9,757.07
  4. Step 4: Simplify right side
    33,130.63x = 484,890,180.27
  5. Step 5: Solve for x
    x = 484,890,180.27/33,130.63
  6. Step 6: Final answer
    x = 14,635.71

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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.