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Finding the Fourth Proportional to 27,359.50, 41,044.65 and 8,642.43

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Solution

The fourth proportional to 27,359.50, 41,044.65 and 8,642.43 is: 12,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,359.50 : 41,044.65 = 8,642.43 : x
  2. Step 2: Convert to fraction form
    27,359.50/41,044.65 = 8,642.43/x
  3. Step 3: Cross multiply
    27,359.50x = 41,044.65 × 8,642.43
  4. Step 4: Simplify right side
    27,359.50x = 354,725,309.28
  5. Step 5: Solve for x
    x = 354,725,309.28/27,359.50
  6. Step 6: Final answer
    x = 12,965.34

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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.