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Finding the Fourth Proportional to 29,818.50, 41,158.17 and 19,882.50

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Solution

The fourth proportional to 29,818.50, 41,158.17 and 19,882.50 is: 27,443.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,818.50 : 41,158.17 = 19,882.50 : x
  2. Step 2: Convert to fraction form
    29,818.50/41,158.17 = 19,882.50/x
  3. Step 3: Cross multiply
    29,818.50x = 41,158.17 × 19,882.50
  4. Step 4: Simplify right side
    29,818.50x = 818,327,315.03
  5. Step 5: Solve for x
    x = 818,327,315.03/29,818.50
  6. Step 6: Final answer
    x = 27,443.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.