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Finding the Fourth Proportional to 27,343.10, 41,019 and 9,578.72

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Solution

The fourth proportional to 27,343.10, 41,019 and 9,578.72 is: 14,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,343.10 : 41,019 = 9,578.72 : x
  2. Step 2: Convert to fraction form
    27,343.10/41,019 = 9,578.72/x
  3. Step 3: Cross multiply
    27,343.10x = 41,019 × 9,578.72
  4. Step 4: Simplify right side
    27,343.10x = 392,909,515.68
  5. Step 5: Solve for x
    x = 392,909,515.68/27,343.10
  6. Step 6: Final answer
    x = 14,369.60

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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.