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Finding the Fourth Proportional to 48,893.80, 73,298.67 and 20,788.12

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Solution

The fourth proportional to 48,893.80, 73,298.67 and 20,788.12 is: 31,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893.80 : 73,298.67 = 20,788.12 : x
  2. Step 2: Convert to fraction form
    48,893.80/73,298.67 = 20,788.12/x
  3. Step 3: Cross multiply
    48,893.80x = 73,298.67 × 20,788.12
  4. Step 4: Simplify right side
    48,893.80x = 1,523,741,472.25
  5. Step 5: Solve for x
    x = 1,523,741,472.25/48,893.80
  6. Step 6: Final answer
    x = 31,164.31

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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.