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Finding the Fourth Proportional to 33,048.81, 49,576.32 and 10,862.24

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Solution

The fourth proportional to 33,048.81, 49,576.32 and 10,862.24 is: 16,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,048.81 : 49,576.32 = 10,862.24 : x
  2. Step 2: Convert to fraction form
    33,048.81/49,576.32 = 10,862.24/x
  3. Step 3: Cross multiply
    33,048.81x = 49,576.32 × 10,862.24
  4. Step 4: Simplify right side
    33,048.81x = 538,509,638.28
  5. Step 5: Solve for x
    x = 538,509,638.28/33,048.81
  6. Step 6: Final answer
    x = 16,294.37

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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.