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Finding the Fourth Proportional to 27,858.36, 41,760 and 10,323.48

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Solution

The fourth proportional to 27,858.36, 41,760 and 10,323.48 is: 15,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858.36 : 41,760 = 10,323.48 : x
  2. Step 2: Convert to fraction form
    27,858.36/41,760 = 10,323.48/x
  3. Step 3: Cross multiply
    27,858.36x = 41,760 × 10,323.48
  4. Step 4: Simplify right side
    27,858.36x = 431,108,524.80
  5. Step 5: Solve for x
    x = 431,108,524.80/27,858.36
  6. Step 6: Final answer
    x = 15,475.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.