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Finding the Fourth Proportional to 82,825.50, 124,238.25 and 20,496

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Solution

The fourth proportional to 82,825.50, 124,238.25 and 20,496 is: 30,744

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,825.50 : 124,238.25 = 20,496 : x
  2. Step 2: Convert to fraction form
    82,825.50/124,238.25 = 20,496/x
  3. Step 3: Cross multiply
    82,825.50x = 124,238.25 × 20,496
  4. Step 4: Simplify right side
    82,825.50x = 2,546,387,172
  5. Step 5: Solve for x
    x = 2,546,387,172/82,825.50
  6. Step 6: Final answer
    x = 30,744

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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.