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Finding the Fourth Proportional to 27,844.28, 41,766.48 and 6,784.32

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Solution

The fourth proportional to 27,844.28, 41,766.48 and 6,784.32 is: 10,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844.28 : 41,766.48 = 6,784.32 : x
  2. Step 2: Convert to fraction form
    27,844.28/41,766.48 = 6,784.32/x
  3. Step 3: Cross multiply
    27,844.28x = 41,766.48 × 6,784.32
  4. Step 4: Simplify right side
    27,844.28x = 283,357,165.59
  5. Step 5: Solve for x
    x = 283,357,165.59/27,844.28
  6. Step 6: Final answer
    x = 10,176.50

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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.