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Finding the Fourth Proportional to 29,539.92, 44,310.12 and 20,814

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Solution

The fourth proportional to 29,539.92, 44,310.12 and 20,814 is: 31,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,539.92 : 44,310.12 = 20,814 : x
  2. Step 2: Convert to fraction form
    29,539.92/44,310.12 = 20,814/x
  3. Step 3: Cross multiply
    29,539.92x = 44,310.12 × 20,814
  4. Step 4: Simplify right side
    29,539.92x = 922,270,837.68
  5. Step 5: Solve for x
    x = 922,270,837.68/29,539.92
  6. Step 6: Final answer
    x = 31,221.17

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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.