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Finding the Fourth Proportional to 27,975.16, 41,959.14 and 8,255.80

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Solution

The fourth proportional to 27,975.16, 41,959.14 and 8,255.80 is: 12,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,975.16 : 41,959.14 = 8,255.80 : x
  2. Step 2: Convert to fraction form
    27,975.16/41,959.14 = 8,255.80/x
  3. Step 3: Cross multiply
    27,975.16x = 41,959.14 × 8,255.80
  4. Step 4: Simplify right side
    27,975.16x = 346,406,268.01
  5. Step 5: Solve for x
    x = 346,406,268.01/27,975.16
  6. Step 6: Final answer
    x = 12,382.64

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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.