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Finding the Fourth Proportional to 27,481.92, 37,925.16 and 14,906.76

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Solution

The fourth proportional to 27,481.92, 37,925.16 and 14,906.76 is: 20,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,481.92 : 37,925.16 = 14,906.76 : x
  2. Step 2: Convert to fraction form
    27,481.92/37,925.16 = 14,906.76/x
  3. Step 3: Cross multiply
    27,481.92x = 37,925.16 × 14,906.76
  4. Step 4: Simplify right side
    27,481.92x = 565,341,258.08
  5. Step 5: Solve for x
    x = 565,341,258.08/27,481.92
  6. Step 6: Final answer
    x = 20,571.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.