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Finding the Fourth Proportional to 27,425.76, 41,141.04 and 7,704.48

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Solution

The fourth proportional to 27,425.76, 41,141.04 and 7,704.48 is: 11,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,425.76 : 41,141.04 = 7,704.48 : x
  2. Step 2: Convert to fraction form
    27,425.76/41,141.04 = 7,704.48/x
  3. Step 3: Cross multiply
    27,425.76x = 41,141.04 × 7,704.48
  4. Step 4: Simplify right side
    27,425.76x = 316,970,319.86
  5. Step 5: Solve for x
    x = 316,970,319.86/27,425.76
  6. Step 6: Final answer
    x = 11,557.39

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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.