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Finding the Fourth Proportional to 48,788.67, 67,327.47 and 27,567.48

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Solution

The fourth proportional to 48,788.67, 67,327.47 and 27,567.48 is: 38,042.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,788.67 : 67,327.47 = 27,567.48 : x
  2. Step 2: Convert to fraction form
    48,788.67/67,327.47 = 27,567.48/x
  3. Step 3: Cross multiply
    48,788.67x = 67,327.47 × 27,567.48
  4. Step 4: Simplify right side
    48,788.67x = 1,856,048,682.68
  5. Step 5: Solve for x
    x = 1,856,048,682.68/48,788.67
  6. Step 6: Final answer
    x = 38,042.62

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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.