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Finding the Fourth Proportional to 33,515.30, 49,908.49 and 33,147.16

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Solution

The fourth proportional to 33,515.30, 49,908.49 and 33,147.16 is: 49,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,515.30 : 49,908.49 = 33,147.16 : x
  2. Step 2: Convert to fraction form
    33,515.30/49,908.49 = 33,147.16/x
  3. Step 3: Cross multiply
    33,515.30x = 49,908.49 × 33,147.16
  4. Step 4: Simplify right side
    33,515.30x = 1,654,324,495.75
  5. Step 5: Solve for x
    x = 1,654,324,495.75/33,515.30
  6. Step 6: Final answer
    x = 49,360.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.