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Finding the Fourth Proportional to 45,150.48, 67,627.44 and 27,567

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Solution

The fourth proportional to 45,150.48, 67,627.44 and 27,567 is: 41,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,150.48 : 67,627.44 = 27,567 : x
  2. Step 2: Convert to fraction form
    45,150.48/67,627.44 = 27,567/x
  3. Step 3: Cross multiply
    45,150.48x = 67,627.44 × 27,567
  4. Step 4: Simplify right side
    45,150.48x = 1,864,285,638.48
  5. Step 5: Solve for x
    x = 1,864,285,638.48/45,150.48
  6. Step 6: Final answer
    x = 41,290.49

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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.