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Finding the Fourth Proportional to 48,765.96, 67,295.86 and 27,544.52

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Solution

The fourth proportional to 48,765.96, 67,295.86 and 27,544.52 is: 38,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,765.96 : 67,295.86 = 27,544.52 : x
  2. Step 2: Convert to fraction form
    48,765.96/67,295.86 = 27,544.52/x
  3. Step 3: Cross multiply
    48,765.96x = 67,295.86 × 27,544.52
  4. Step 4: Simplify right side
    48,765.96x = 1,853,632,161.69
  5. Step 5: Solve for x
    x = 1,853,632,161.69/48,765.96
  6. Step 6: Final answer
    x = 38,010.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.