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Finding the Fourth Proportional to 29,729.40, 40,992.66 and 23,757

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Solution

The fourth proportional to 29,729.40, 40,992.66 and 23,757 is: 32,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,729.40 : 40,992.66 = 23,757 : x
  2. Step 2: Convert to fraction form
    29,729.40/40,992.66 = 23,757/x
  3. Step 3: Cross multiply
    29,729.40x = 40,992.66 × 23,757
  4. Step 4: Simplify right side
    29,729.40x = 973,862,623.62
  5. Step 5: Solve for x
    x = 973,862,623.62/29,729.40
  6. Step 6: Final answer
    x = 32,757.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.