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Finding the Fourth Proportional to 29,175.94, 43,752.84 and 9,449.20

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Solution

The fourth proportional to 29,175.94, 43,752.84 and 9,449.20 is: 14,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,175.94 : 43,752.84 = 9,449.20 : x
  2. Step 2: Convert to fraction form
    29,175.94/43,752.84 = 9,449.20/x
  3. Step 3: Cross multiply
    29,175.94x = 43,752.84 × 9,449.20
  4. Step 4: Simplify right side
    29,175.94x = 413,429,335.73
  5. Step 5: Solve for x
    x = 413,429,335.73/29,175.94
  6. Step 6: Final answer
    x = 14,170.21

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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.