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Finding the Fourth Proportional to 65,828.91, 90,843.80 and 35,614.16

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Solution

The fourth proportional to 65,828.91, 90,843.80 and 35,614.16 is: 49,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,828.91 : 90,843.80 = 35,614.16 : x
  2. Step 2: Convert to fraction form
    65,828.91/90,843.80 = 35,614.16/x
  3. Step 3: Cross multiply
    65,828.91x = 90,843.80 × 35,614.16
  4. Step 4: Simplify right side
    65,828.91x = 3,235,324,995.92
  5. Step 5: Solve for x
    x = 3,235,324,995.92/65,828.91
  6. Step 6: Final answer
    x = 49,147.48

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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.