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Finding the Fourth Proportional to 41,242.17, 61,862.49 and 13,162

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Solution

The fourth proportional to 41,242.17, 61,862.49 and 13,162 is: 19,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,242.17 : 61,862.49 = 13,162 : x
  2. Step 2: Convert to fraction form
    41,242.17/61,862.49 = 13,162/x
  3. Step 3: Cross multiply
    41,242.17x = 61,862.49 × 13,162
  4. Step 4: Simplify right side
    41,242.17x = 814,234,093.38
  5. Step 5: Solve for x
    x = 814,234,093.38/41,242.17
  6. Step 6: Final answer
    x = 19,742.76

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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.