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Finding the Fourth Proportional to 29,760.12, 44,638.90 and 8,983

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Solution

The fourth proportional to 29,760.12, 44,638.90 and 8,983 is: 13,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,760.12 : 44,638.90 = 8,983 : x
  2. Step 2: Convert to fraction form
    29,760.12/44,638.90 = 8,983/x
  3. Step 3: Cross multiply
    29,760.12x = 44,638.90 × 8,983
  4. Step 4: Simplify right side
    29,760.12x = 400,991,238.70
  5. Step 5: Solve for x
    x = 400,991,238.70/29,760.12
  6. Step 6: Final answer
    x = 13,474.11

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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.