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Finding the Fourth Proportional to 55,098.20, 82,657.56 and 25,496.48

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Solution

The fourth proportional to 55,098.20, 82,657.56 and 25,496.48 is: 38,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,098.20 : 82,657.56 = 25,496.48 : x
  2. Step 2: Convert to fraction form
    55,098.20/82,657.56 = 25,496.48/x
  3. Step 3: Cross multiply
    55,098.20x = 82,657.56 × 25,496.48
  4. Step 4: Simplify right side
    55,098.20x = 2,107,476,825.39
  5. Step 5: Solve for x
    x = 2,107,476,825.39/55,098.20
  6. Step 6: Final answer
    x = 38,249.47

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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.