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Finding the Fourth Proportional to 27,906.21, 41,834.04 and 10,132.74

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Solution

The fourth proportional to 27,906.21, 41,834.04 and 10,132.74 is: 15,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,906.21 : 41,834.04 = 10,132.74 : x
  2. Step 2: Convert to fraction form
    27,906.21/41,834.04 = 10,132.74/x
  3. Step 3: Cross multiply
    27,906.21x = 41,834.04 × 10,132.74
  4. Step 4: Simplify right side
    27,906.21x = 423,893,450.47
  5. Step 5: Solve for x
    x = 423,893,450.47/27,906.21
  6. Step 6: Final answer
    x = 15,189.93

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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.