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Finding the Fourth Proportional to 53,906.60, 80,849.10 and 25,826.60

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Solution

The fourth proportional to 53,906.60, 80,849.10 and 25,826.60 is: 38,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,906.60 : 80,849.10 = 25,826.60 : x
  2. Step 2: Convert to fraction form
    53,906.60/80,849.10 = 25,826.60/x
  3. Step 3: Cross multiply
    53,906.60x = 80,849.10 × 25,826.60
  4. Step 4: Simplify right side
    53,906.60x = 2,088,057,366.06
  5. Step 5: Solve for x
    x = 2,088,057,366.06/53,906.60
  6. Step 6: Final answer
    x = 38,734.73

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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.