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Finding the Fourth Proportional to 57,338.53, 85,968.54 and 29,204.12

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Solution

The fourth proportional to 57,338.53, 85,968.54 and 29,204.12 is: 43,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,338.53 : 85,968.54 = 29,204.12 : x
  2. Step 2: Convert to fraction form
    57,338.53/85,968.54 = 29,204.12/x
  3. Step 3: Cross multiply
    57,338.53x = 85,968.54 × 29,204.12
  4. Step 4: Simplify right side
    57,338.53x = 2,510,635,773.31
  5. Step 5: Solve for x
    x = 2,510,635,773.31/57,338.53
  6. Step 6: Final answer
    x = 43,786.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.