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Finding the Fourth Proportional to 50,850, 76,202.32 and 22,352.80

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Solution

The fourth proportional to 50,850, 76,202.32 and 22,352.80 is: 33,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,850 : 76,202.32 = 22,352.80 : x
  2. Step 2: Convert to fraction form
    50,850/76,202.32 = 22,352.80/x
  3. Step 3: Cross multiply
    50,850x = 76,202.32 × 22,352.80
  4. Step 4: Simplify right side
    50,850x = 1,703,335,218.50
  5. Step 5: Solve for x
    x = 1,703,335,218.50/50,850
  6. Step 6: Final answer
    x = 33,497.25

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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.