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Finding the Fourth Proportional to 30,724.31, 42,404.96 and 29,321.91

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Solution

The fourth proportional to 30,724.31, 42,404.96 and 29,321.91 is: 40,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724.31 : 42,404.96 = 29,321.91 : x
  2. Step 2: Convert to fraction form
    30,724.31/42,404.96 = 29,321.91/x
  3. Step 3: Cross multiply
    30,724.31x = 42,404.96 × 29,321.91
  4. Step 4: Simplify right side
    30,724.31x = 1,243,394,420.67
  5. Step 5: Solve for x
    x = 1,243,394,420.67/30,724.31
  6. Step 6: Final answer
    x = 40,469.40

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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.