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Finding the Fourth Proportional to 45,430.92, 68,157.72 and 15,849

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Solution

The fourth proportional to 45,430.92, 68,157.72 and 15,849 is: 23,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,430.92 : 68,157.72 = 15,849 : x
  2. Step 2: Convert to fraction form
    45,430.92/68,157.72 = 15,849/x
  3. Step 3: Cross multiply
    45,430.92x = 68,157.72 × 15,849
  4. Step 4: Simplify right side
    45,430.92x = 1,080,231,704.28
  5. Step 5: Solve for x
    x = 1,080,231,704.28/45,430.92
  6. Step 6: Final answer
    x = 23,777.46

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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.