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Finding the Fourth Proportional to 27,571.12, 38,031.08 and 24,042.80

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Solution

The fourth proportional to 27,571.12, 38,031.08 and 24,042.80 is: 33,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,571.12 : 38,031.08 = 24,042.80 : x
  2. Step 2: Convert to fraction form
    27,571.12/38,031.08 = 24,042.80/x
  3. Step 3: Cross multiply
    27,571.12x = 38,031.08 × 24,042.80
  4. Step 4: Simplify right side
    27,571.12x = 914,373,650.22
  5. Step 5: Solve for x
    x = 914,373,650.22/27,571.12
  6. Step 6: Final answer
    x = 33,164.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.