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Finding the Fourth Proportional to 29,494.31, 44,241.53 and 9,767.57

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Solution

The fourth proportional to 29,494.31, 44,241.53 and 9,767.57 is: 14,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,494.31 : 44,241.53 = 9,767.57 : x
  2. Step 2: Convert to fraction form
    29,494.31/44,241.53 = 9,767.57/x
  3. Step 3: Cross multiply
    29,494.31x = 44,241.53 × 9,767.57
  4. Step 4: Simplify right side
    29,494.31x = 432,131,971.14
  5. Step 5: Solve for x
    x = 432,131,971.14/29,494.31
  6. Step 6: Final answer
    x = 14,651.37

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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.