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Finding the Fourth Proportional to 29,189.44, 43,788.48 and 10,720

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Solution

The fourth proportional to 29,189.44, 43,788.48 and 10,720 is: 16,081.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,189.44 : 43,788.48 = 10,720 : x
  2. Step 2: Convert to fraction form
    29,189.44/43,788.48 = 10,720/x
  3. Step 3: Cross multiply
    29,189.44x = 43,788.48 × 10,720
  4. Step 4: Simplify right side
    29,189.44x = 469,412,505.60
  5. Step 5: Solve for x
    x = 469,412,505.60/29,189.44
  6. Step 6: Final answer
    x = 16,081.59

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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.