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Finding the Fourth Proportional to 27,468.76, 41,189.49 and 8,746.35

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Solution

The fourth proportional to 27,468.76, 41,189.49 and 8,746.35 is: 13,115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468.76 : 41,189.49 = 8,746.35 : x
  2. Step 2: Convert to fraction form
    27,468.76/41,189.49 = 8,746.35/x
  3. Step 3: Cross multiply
    27,468.76x = 41,189.49 × 8,746.35
  4. Step 4: Simplify right side
    27,468.76x = 360,257,717.73
  5. Step 5: Solve for x
    x = 360,257,717.73/27,468.76
  6. Step 6: Final answer
    x = 13,115.18

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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.