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Finding the Fourth Proportional to 82,826.50, 124,239.75 and 20,497

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Solution

The fourth proportional to 82,826.50, 124,239.75 and 20,497 is: 30,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,826.50 : 124,239.75 = 20,497 : x
  2. Step 2: Convert to fraction form
    82,826.50/124,239.75 = 20,497/x
  3. Step 3: Cross multiply
    82,826.50x = 124,239.75 × 20,497
  4. Step 4: Simplify right side
    82,826.50x = 2,546,542,155.75
  5. Step 5: Solve for x
    x = 2,546,542,155.75/82,826.50
  6. Step 6: Final answer
    x = 30,745.50

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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.