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Finding the Fourth Proportional to 48,744, 73,115.64 and 13,683.66

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Solution

The fourth proportional to 48,744, 73,115.64 and 13,683.66 is: 20,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,744 : 73,115.64 = 13,683.66 : x
  2. Step 2: Convert to fraction form
    48,744/73,115.64 = 13,683.66/x
  3. Step 3: Cross multiply
    48,744x = 73,115.64 × 13,683.66
  4. Step 4: Simplify right side
    48,744x = 1,000,489,558.44
  5. Step 5: Solve for x
    x = 1,000,489,558.44/48,744
  6. Step 6: Final answer
    x = 20,525.39

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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.