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Finding the Fourth Proportional to 52,098.96, 71,892.32 and 30,586.44

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Solution

The fourth proportional to 52,098.96, 71,892.32 and 30,586.44 is: 42,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,098.96 : 71,892.32 = 30,586.44 : x
  2. Step 2: Convert to fraction form
    52,098.96/71,892.32 = 30,586.44/x
  3. Step 3: Cross multiply
    52,098.96x = 71,892.32 × 30,586.44
  4. Step 4: Simplify right side
    52,098.96x = 2,198,929,979.21
  5. Step 5: Solve for x
    x = 2,198,929,979.21/52,098.96
  6. Step 6: Final answer
    x = 42,206.79

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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.