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Finding the Fourth Proportional to 32,325.80, 48,489.84 and 8,954

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Solution

The fourth proportional to 32,325.80, 48,489.84 and 8,954 is: 13,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,325.80 : 48,489.84 = 8,954 : x
  2. Step 2: Convert to fraction form
    32,325.80/48,489.84 = 8,954/x
  3. Step 3: Cross multiply
    32,325.80x = 48,489.84 × 8,954
  4. Step 4: Simplify right side
    32,325.80x = 434,178,027.36
  5. Step 5: Solve for x
    x = 434,178,027.36/32,325.80
  6. Step 6: Final answer
    x = 13,431.32

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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.