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Finding the Fourth Proportional to 29,214.84, 43,835.22 and 21,711

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Solution

The fourth proportional to 29,214.84, 43,835.22 and 21,711 is: 32,576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,214.84 : 43,835.22 = 21,711 : x
  2. Step 2: Convert to fraction form
    29,214.84/43,835.22 = 21,711/x
  3. Step 3: Cross multiply
    29,214.84x = 43,835.22 × 21,711
  4. Step 4: Simplify right side
    29,214.84x = 951,706,461.42
  5. Step 5: Solve for x
    x = 951,706,461.42/29,214.84
  6. Step 6: Final answer
    x = 32,576.13

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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.