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Finding the Fourth Proportional to 27,461.22, 41,133.50 and 18,582

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Solution

The fourth proportional to 27,461.22, 41,133.50 and 18,582 is: 27,833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,461.22 : 41,133.50 = 18,582 : x
  2. Step 2: Convert to fraction form
    27,461.22/41,133.50 = 18,582/x
  3. Step 3: Cross multiply
    27,461.22x = 41,133.50 × 18,582
  4. Step 4: Simplify right side
    27,461.22x = 764,342,697
  5. Step 5: Solve for x
    x = 764,342,697/27,461.22
  6. Step 6: Final answer
    x = 27,833.53

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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.