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Finding the Fourth Proportional to 82,814.49, 124,219.20 and 23,650.29

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Solution

The fourth proportional to 82,814.49, 124,219.20 and 23,650.29 is: 35,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,814.49 : 124,219.20 = 23,650.29 : x
  2. Step 2: Convert to fraction form
    82,814.49/124,219.20 = 23,650.29/x
  3. Step 3: Cross multiply
    82,814.49x = 124,219.20 × 23,650.29
  4. Step 4: Simplify right side
    82,814.49x = 2,937,820,103.57
  5. Step 5: Solve for x
    x = 2,937,820,103.57/82,814.49
  6. Step 6: Final answer
    x = 35,474.71

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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.