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Finding the Fourth Proportional to 33,121.28, 49,686.84 and 10,937

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Solution

The fourth proportional to 33,121.28, 49,686.84 and 10,937 is: 16,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,121.28 : 49,686.84 = 10,937 : x
  2. Step 2: Convert to fraction form
    33,121.28/49,686.84 = 10,937/x
  3. Step 3: Cross multiply
    33,121.28x = 49,686.84 × 10,937
  4. Step 4: Simplify right side
    33,121.28x = 543,424,969.08
  5. Step 5: Solve for x
    x = 543,424,969.08/33,121.28
  6. Step 6: Final answer
    x = 16,407.12

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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.