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Finding the Fourth Proportional to 48,636, 72,975.96 and 27,859.50

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Solution

The fourth proportional to 48,636, 72,975.96 and 27,859.50 is: 41,801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,636 : 72,975.96 = 27,859.50 : x
  2. Step 2: Convert to fraction form
    48,636/72,975.96 = 27,859.50/x
  3. Step 3: Cross multiply
    48,636x = 72,975.96 × 27,859.50
  4. Step 4: Simplify right side
    48,636x = 2,033,073,757.62
  5. Step 5: Solve for x
    x = 2,033,073,757.62/48,636
  6. Step 6: Final answer
    x = 41,801.83

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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.