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Finding the Fourth Proportional to 32,327.56, 48,491.36 and 8,954

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Solution

The fourth proportional to 32,327.56, 48,491.36 and 8,954 is: 13,431.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,327.56 : 48,491.36 = 8,954 : x
  2. Step 2: Convert to fraction form
    32,327.56/48,491.36 = 8,954/x
  3. Step 3: Cross multiply
    32,327.56x = 48,491.36 × 8,954
  4. Step 4: Simplify right side
    32,327.56x = 434,191,637.44
  5. Step 5: Solve for x
    x = 434,191,637.44/32,327.56
  6. Step 6: Final answer
    x = 13,431.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.