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Finding the Fourth Proportional to 49,911.65, 68,853.22 and 29,754.33

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Solution

The fourth proportional to 49,911.65, 68,853.22 and 29,754.33 is: 41,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,911.65 : 68,853.22 = 29,754.33 : x
  2. Step 2: Convert to fraction form
    49,911.65/68,853.22 = 29,754.33/x
  3. Step 3: Cross multiply
    49,911.65x = 68,853.22 × 29,754.33
  4. Step 4: Simplify right side
    49,911.65x = 2,048,681,264.23
  5. Step 5: Solve for x
    x = 2,048,681,264.23/49,911.65
  6. Step 6: Final answer
    x = 41,046.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.