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Finding the Fourth Proportional to 82,163.53, 123,258.92 and 28,841.68

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Solution

The fourth proportional to 82,163.53, 123,258.92 and 28,841.68 is: 43,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,163.53 : 123,258.92 = 28,841.68 : x
  2. Step 2: Convert to fraction form
    82,163.53/123,258.92 = 28,841.68/x
  3. Step 3: Cross multiply
    82,163.53x = 123,258.92 × 28,841.68
  4. Step 4: Simplify right side
    82,163.53x = 3,554,994,499.89
  5. Step 5: Solve for x
    x = 3,554,994,499.89/82,163.53
  6. Step 6: Final answer
    x = 43,267.30

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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.