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Finding the Fourth Proportional to 29,731.20, 44,542.80 and 14,114.40

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Solution

The fourth proportional to 29,731.20, 44,542.80 and 14,114.40 is: 21,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,731.20 : 44,542.80 = 14,114.40 : x
  2. Step 2: Convert to fraction form
    29,731.20/44,542.80 = 14,114.40/x
  3. Step 3: Cross multiply
    29,731.20x = 44,542.80 × 14,114.40
  4. Step 4: Simplify right side
    29,731.20x = 628,694,896.32
  5. Step 5: Solve for x
    x = 628,694,896.32/29,731.20
  6. Step 6: Final answer
    x = 21,145.96

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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.