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Finding the Fourth Proportional to 82,647.18, 123,973.11 and 20,317.50

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Solution

The fourth proportional to 82,647.18, 123,973.11 and 20,317.50 is: 30,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,647.18 : 123,973.11 = 20,317.50 : x
  2. Step 2: Convert to fraction form
    82,647.18/123,973.11 = 20,317.50/x
  3. Step 3: Cross multiply
    82,647.18x = 123,973.11 × 20,317.50
  4. Step 4: Simplify right side
    82,647.18x = 2,518,823,662.43
  5. Step 5: Solve for x
    x = 2,518,823,662.43/82,647.18
  6. Step 6: Final answer
    x = 30,476.83

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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.