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Finding the Fourth Proportional to 30,876, 46,376.16 and 18,420.36

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Solution

The fourth proportional to 30,876, 46,376.16 and 18,420.36 is: 27,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876 : 46,376.16 = 18,420.36 : x
  2. Step 2: Convert to fraction form
    30,876/46,376.16 = 18,420.36/x
  3. Step 3: Cross multiply
    30,876x = 46,376.16 × 18,420.36
  4. Step 4: Simplify right side
    30,876x = 854,265,562.62
  5. Step 5: Solve for x
    x = 854,265,562.62/30,876
  6. Step 6: Final answer
    x = 27,667.62

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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.