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Finding the Fourth Proportional to 48,829.50, 67,382.84 and 27,609.21

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Solution

The fourth proportional to 48,829.50, 67,382.84 and 27,609.21 is: 38,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,829.50 : 67,382.84 = 27,609.21 : x
  2. Step 2: Convert to fraction form
    48,829.50/67,382.84 = 27,609.21/x
  3. Step 3: Cross multiply
    48,829.50x = 67,382.84 × 27,609.21
  4. Step 4: Simplify right side
    48,829.50x = 1,860,387,048.98
  5. Step 5: Solve for x
    x = 1,860,387,048.98/48,829.50
  6. Step 6: Final answer
    x = 38,099.65

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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.