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Finding the Fourth Proportional to 27,975.77, 41,964.81 and 8,254.33

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Solution

The fourth proportional to 27,975.77, 41,964.81 and 8,254.33 is: 12,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,975.77 : 41,964.81 = 8,254.33 : x
  2. Step 2: Convert to fraction form
    27,975.77/41,964.81 = 8,254.33/x
  3. Step 3: Cross multiply
    27,975.77x = 41,964.81 × 8,254.33
  4. Step 4: Simplify right side
    27,975.77x = 346,391,395.50
  5. Step 5: Solve for x
    x = 346,391,395.50/27,975.77
  6. Step 6: Final answer
    x = 12,381.84

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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.