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Finding the Fourth Proportional to 57,310.50, 85,913.91 and 29,214.84

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Solution

The fourth proportional to 57,310.50, 85,913.91 and 29,214.84 is: 43,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,310.50 : 85,913.91 = 29,214.84 : x
  2. Step 2: Convert to fraction form
    57,310.50/85,913.91 = 29,214.84/x
  3. Step 3: Cross multiply
    57,310.50x = 85,913.91 × 29,214.84
  4. Step 4: Simplify right side
    57,310.50x = 2,509,961,134.42
  5. Step 5: Solve for x
    x = 2,509,961,134.42/57,310.50
  6. Step 6: Final answer
    x = 43,795.83

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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.