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Finding the Fourth Proportional to 27,496.62, 41,274.09 and 24,354.45

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Solution

The fourth proportional to 27,496.62, 41,274.09 and 24,354.45 is: 36,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,496.62 : 41,274.09 = 24,354.45 : x
  2. Step 2: Convert to fraction form
    27,496.62/41,274.09 = 24,354.45/x
  3. Step 3: Cross multiply
    27,496.62x = 41,274.09 × 24,354.45
  4. Step 4: Simplify right side
    27,496.62x = 1,005,207,761.20
  5. Step 5: Solve for x
    x = 1,005,207,761.20/27,496.62
  6. Step 6: Final answer
    x = 36,557.50

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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.