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Finding the Fourth Proportional to 29,883.42, 41,226.76 and 17,781.50

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Solution

The fourth proportional to 29,883.42, 41,226.76 and 17,781.50 is: 24,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,883.42 : 41,226.76 = 17,781.50 : x
  2. Step 2: Convert to fraction form
    29,883.42/41,226.76 = 17,781.50/x
  3. Step 3: Cross multiply
    29,883.42x = 41,226.76 × 17,781.50
  4. Step 4: Simplify right side
    29,883.42x = 733,073,449.03
  5. Step 5: Solve for x
    x = 733,073,449.03/29,883.42
  6. Step 6: Final answer
    x = 24,531.11

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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.