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Finding the Fourth Proportional to 33,040.56, 49,568.64 and 10,854

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Solution

The fourth proportional to 33,040.56, 49,568.64 and 10,854 is: 16,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,040.56 : 49,568.64 = 10,854 : x
  2. Step 2: Convert to fraction form
    33,040.56/49,568.64 = 10,854/x
  3. Step 3: Cross multiply
    33,040.56x = 49,568.64 × 10,854
  4. Step 4: Simplify right side
    33,040.56x = 538,018,018.56
  5. Step 5: Solve for x
    x = 538,018,018.56/33,040.56
  6. Step 6: Final answer
    x = 16,283.56

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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.