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Finding the Fourth Proportional to 53,694.96, 80,526 and 25,600.20

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Solution

The fourth proportional to 53,694.96, 80,526 and 25,600.20 is: 38,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,694.96 : 80,526 = 25,600.20 : x
  2. Step 2: Convert to fraction form
    53,694.96/80,526 = 25,600.20/x
  3. Step 3: Cross multiply
    53,694.96x = 80,526 × 25,600.20
  4. Step 4: Simplify right side
    53,694.96x = 2,061,481,705.20
  5. Step 5: Solve for x
    x = 2,061,481,705.20/53,694.96
  6. Step 6: Final answer
    x = 38,392.46

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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.