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Finding the Fourth Proportional to 43,469.44, 65,165.04 and 15,748

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Solution

The fourth proportional to 43,469.44, 65,165.04 and 15,748 is: 23,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,469.44 : 65,165.04 = 15,748 : x
  2. Step 2: Convert to fraction form
    43,469.44/65,165.04 = 15,748/x
  3. Step 3: Cross multiply
    43,469.44x = 65,165.04 × 15,748
  4. Step 4: Simplify right side
    43,469.44x = 1,026,219,049.92
  5. Step 5: Solve for x
    x = 1,026,219,049.92/43,469.44
  6. Step 6: Final answer
    x = 23,607.83

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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.