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Finding the Fourth Proportional to 29,842.25, 44,753.82 and 9,847.27

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Solution

The fourth proportional to 29,842.25, 44,753.82 and 9,847.27 is: 14,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842.25 : 44,753.82 = 9,847.27 : x
  2. Step 2: Convert to fraction form
    29,842.25/44,753.82 = 9,847.27/x
  3. Step 3: Cross multiply
    29,842.25x = 44,753.82 × 9,847.27
  4. Step 4: Simplify right side
    29,842.25x = 440,702,949.07
  5. Step 5: Solve for x
    x = 440,702,949.07/29,842.25
  6. Step 6: Final answer
    x = 14,767.75

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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.