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Finding the Fourth Proportional to 82,636.92, 123,922.50 and 30,017.64

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Solution

The fourth proportional to 82,636.92, 123,922.50 and 30,017.64 is: 45,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,636.92 : 123,922.50 = 30,017.64 : x
  2. Step 2: Convert to fraction form
    82,636.92/123,922.50 = 30,017.64/x
  3. Step 3: Cross multiply
    82,636.92x = 123,922.50 × 30,017.64
  4. Step 4: Simplify right side
    82,636.92x = 3,719,860,992.90
  5. Step 5: Solve for x
    x = 3,719,860,992.90/82,636.92
  6. Step 6: Final answer
    x = 45,014.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.