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Finding the Fourth Proportional to 45,033.60, 67,548.72 and 13,868

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Solution

The fourth proportional to 45,033.60, 67,548.72 and 13,868 is: 20,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,033.60 : 67,548.72 = 13,868 : x
  2. Step 2: Convert to fraction form
    45,033.60/67,548.72 = 13,868/x
  3. Step 3: Cross multiply
    45,033.60x = 67,548.72 × 13,868
  4. Step 4: Simplify right side
    45,033.60x = 936,765,648.96
  5. Step 5: Solve for x
    x = 936,765,648.96/45,033.60
  6. Step 6: Final answer
    x = 20,801.48

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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.