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Finding the Fourth Proportional to 30,638.77, 45,961.86 and 10,919.32

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Solution

The fourth proportional to 30,638.77, 45,961.86 and 10,919.32 is: 16,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638.77 : 45,961.86 = 10,919.32 : x
  2. Step 2: Convert to fraction form
    30,638.77/45,961.86 = 10,919.32/x
  3. Step 3: Cross multiply
    30,638.77x = 45,961.86 × 10,919.32
  4. Step 4: Simplify right side
    30,638.77x = 501,872,257.14
  5. Step 5: Solve for x
    x = 501,872,257.14/30,638.77
  6. Step 6: Final answer
    x = 16,380.30

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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.